﻿namespace SoundFingerprinting.MinHash
{
    internal class MaxEntropyPermutations : IPermutations
    {
        private readonly int[][] permutations = new[]
                                                {
                                                    new[]
                                                    {
                                                        845, 3089, 6001, 525, 2795, 2599, 7011, 623, 348,
                                                        1329, 1800, 2621, 7128, 1521, 7851, 4163, 1683,
                                                        5374, 1478, 5297, 7992, 1934, 6813, 5603, 6618,
                                                        5261, 7515, 7655, 6105, 2981, 6695, 1982, 3634,
                                                        1594, 4035, 532, 87, 2388, 2049, 7303, 1497, 2733,
                                                        814, 6683, 7935, 2359, 6470, 2342, 3499, 3666, 7961,
                                                        7481, 4513, 4645, 242, 1801, 7136, 7795, 4341, 1235,
                                                        3185, 4699, 2081, 2011, 161, 7847, 1068, 7686, 5,
                                                        3972, 2890, 4081, 7140, 684, 15, 693, 1198, 4626,
                                                        6386, 1984, 5927, 6226, 1302, 3110, 6732, 394, 1764,
                                                        6629, 1253, 2554, 5331, 1162, 3391, 365, 2833, 3891,
                                                        2078, 5076, 7888, 1134, 6070, 4704, 5462, 1218,
                                                        2179, 3761, 1050, 2626, 440, 5141, 5321, 6677, 491,
                                                        2297, 1377, 2608, 3509, 996, 912, 2775, 3893, 5542,
                                                        4423, 3221, 5847, 3529, 6501, 6552, 6030, 3399,
                                                        5725, 6961, 6833, 3796, 4901, 4941, 7720, 404, 5894,
                                                        7617, 3508, 5013, 4762, 3571, 7499, 3489, 3149,
                                                        1091, 1500, 5235, 2055, 553, 3440, 8094, 1610, 1836,
                                                        4917, 3866, 2016, 6338, 6472, 7424, 7816, 1438,
                                                        3787, 3564, 5110, 6662, 1435, 5798, 6802, 2166,
                                                        7314, 1890, 641, 1618, 4802, 5635, 7172, 752, 6453,
                                                        5193, 7435, 972, 5428, 4872, 7271, 2997, 6528, 597,
                                                        5826, 6375, 4684, 6798, 1266, 6551, 1870, 589, 5443,
                                                        5712, 238, 117, 2497, 7258, 3286, 2074, 2505, 7374,
                                                        2647, 2832, 5652, 6783, 5275, 8017, 700, 4212, 7553,
                                                        2517, 1344, 1463, 4609, 698, 4455, 5731, 1283, 3269,
                                                        7348, 4090, 5489, 8169, 6965, 794, 802, 462, 4480,
                                                        6078, 6615, 3811, 2627, 8131, 7401, 2818, 1805,
                                                        2824, 430, 7295, 253, 5335, 7272, 1710, 5166, 4239,
                                                        5245, 3976, 3969
                                                    },
                                                    new[]
                                                    {
                                                        1670, 2562, 2370, 4099, 610, 624, 2703, 8003, 5070,
                                                        7428, 6463, 3397, 1418, 4961, 6837, 3754, 6427,
                                                        6808, 3246, 2514, 7587, 1541, 4982, 1809, 6701,
                                                        1486, 7869, 548, 5615, 6399, 1200, 557, 1014, 2928,
                                                        907, 910, 4252, 2955, 4605, 3654, 6129, 6604, 2162,
                                                        738, 7084, 4652, 1433, 358, 2005, 2845, 3851, 5931,
                                                        491, 3057, 2209, 595, 1037, 7364, 6284, 711, 5818,
                                                        4278, 4486, 1995, 5422, 6166, 8177, 242, 3067, 3658,
                                                        6212, 5548, 2321, 7105, 4783, 3090, 2557, 774, 5786,
                                                        2130, 7678, 7002, 6386, 8183, 3453, 4157, 1013,
                                                        7053, 5592, 5499, 3147, 5192, 980, 2747, 5838, 3588,
                                                        1782, 5594, 5189, 2722, 4010, 7286, 5659, 4300, 195,
                                                        3942, 570, 6065, 2843, 1161, 3723, 8065, 245, 6066,
                                                        7147, 5741, 2278, 7823, 2127, 1434, 112, 1456, 2987,
                                                        6596, 4640, 7115, 2677, 141, 6910, 3514, 2062, 1337,
                                                        7076, 6152, 7541, 2153, 3928, 3113, 3337, 3077,
                                                        1012, 421, 3144, 2211, 40, 6181, 17, 3968, 2238,
                                                        182, 1060, 6295, 600, 2488, 3140, 6581, 7682, 2349,
                                                        2310, 4596, 520, 3302, 3247, 3732, 7979, 3431, 167,
                                                        3983, 979, 632, 2914, 1083, 3192, 3275, 5135, 2651,
                                                        3226, 7523, 7851, 4559, 5448, 1299, 3903, 453, 3454,
                                                        2685, 4183, 4987, 2915, 2762, 7301, 2861, 849, 8153,
                                                        3731, 8031, 4921, 1397, 5794, 6862, 2581, 484, 2713,
                                                        3537, 6625, 6550, 5306, 2053, 7451, 5074, 7579,
                                                        2163, 1545, 1640, 7045, 967, 2624, 3387, 2475, 2042,
                                                        3520, 7455, 817, 1429, 3813, 1150, 5939, 8181, 5154,
                                                        603, 2172, 5565, 2165, 5911, 3580, 5545, 2480, 1583,
                                                        6383, 4464, 5692, 3137, 821, 7263, 3600, 2590, 6190,
                                                        6294, 3729, 7957, 7509, 1615, 6977, 3422, 5888
                                                    },
                                                    new[]
                                                    {
                                                        5328, 330, 1895, 3307, 7723, 3592, 7263, 1334, 8091,
                                                        6602, 7511, 597, 6960, 4732, 1145, 7072, 6497, 1523,
                                                        4162, 6734, 1830, 1515, 5940, 4682, 3997, 3203, 969,
                                                        5903, 1494, 1047, 1722, 4879, 4864, 5371, 57, 4796,
                                                        6936, 5385, 7086, 3744, 7876, 6581, 6327, 7842,
                                                        4071, 1888, 4520, 3231, 7413, 4067, 5300, 4827,
                                                        5249, 505, 522, 590, 5668, 1291, 3088, 6871, 3919,
                                                        7082, 6223, 4828, 3407, 2091, 1640, 1240, 4599,
                                                        2025, 6380, 5407, 1752, 7725, 2951, 4857, 4018,
                                                        1832, 6131, 3993, 975, 2688, 3003, 6123, 3367, 5296,
                                                        671, 2567, 7688, 4953, 4050, 4302, 8081, 3497, 3512,
                                                        7217, 5695, 6635, 234, 5240, 7189, 7460, 4856, 2231,
                                                        6837, 4786, 6889, 1167, 6967, 4160, 8087, 4584,
                                                        2475, 742, 477, 4213, 1986, 7281, 5930, 121, 535,
                                                        3259, 4697, 1660, 4104, 7005, 2693, 942, 2069, 639,
                                                        6926, 7425, 5189, 7911, 5787, 4112, 4225, 4927, 470,
                                                        7610, 8110, 5631, 734, 7775, 684, 221, 1566, 4110,
                                                        2433, 8002, 5329, 4515, 2862, 5359, 1234, 2062,
                                                        6441, 1201, 3739, 4650, 1499, 1381, 3143, 4033,
                                                        3929, 7432, 2350, 5360, 6857, 5276, 1792, 1207, 263,
                                                        6172, 4612, 65, 3454, 751, 5508, 5988, 4187, 4572,
                                                        2412, 3709, 6552, 2209, 2763, 5821, 6937, 542, 524,
                                                        560, 4876, 4829, 5690, 1920, 2964, 2104, 4586, 3401,
                                                        2055, 166, 3734, 6228, 5194, 2721, 4361, 347, 4756,
                                                        4954, 896, 7873, 1930, 2522, 370, 3083, 4034, 7075,
                                                        4677, 3798, 5058, 5069, 2734, 6037, 807, 7456, 2527,
                                                        5071, 118, 7441, 4062, 6417, 4866, 5612, 521, 2319,
                                                        2808, 1698, 1608, 1390, 4512, 7515, 3313, 235, 7892,
                                                        479, 4198, 7430, 114, 6530, 699, 4106, 783, 7869,
                                                        5172
                                                    },
                                                    new[]
                                                    {
                                                        6205, 3933, 2351, 7970, 5020, 6133, 1701, 8003,
                                                        5356, 2483, 5779, 2941, 319, 6422, 1878, 3346, 7033,
                                                        390, 7604, 7823, 2119, 6613, 5565, 4363, 4233, 519,
                                                        3504, 4013, 3737, 1144, 7731, 2846, 3452, 2955,
                                                        6003, 3622, 4151, 7791, 6785, 2795, 5965, 1931,
                                                        4202, 7717, 2164, 1168, 6112, 6417, 2029, 4278,
                                                        4076, 4246, 6568, 1275, 494, 5877, 5832, 5566, 1580,
                                                        3534, 968, 848, 459, 2428, 4375, 6464, 7388, 4394,
                                                        4379, 3985, 2148, 4266, 3463, 2513, 4291, 6648, 974,
                                                        2361, 412, 6591, 1439, 1918, 4981, 7901, 2328, 2542,
                                                        2298, 7760, 2388, 5737, 4672, 6408, 218, 5217, 7596,
                                                        3317, 562, 2880, 5919, 5908, 3799, 336, 6875, 7523,
                                                        4907, 6442, 7505, 4370, 3343, 1210, 6995, 2145,
                                                        1001, 1352, 7294, 4203, 5290, 6963, 5158, 5934,
                                                        4104, 6935, 6687, 7274, 4082, 1329, 988, 2413, 8181,
                                                        3955, 1282, 2821, 7811, 1874, 661, 5193, 5397, 6567,
                                                        716, 5952, 6592, 4351, 2251, 6598, 2607, 7948, 3155,
                                                        4511, 2540, 6579, 4272, 3533, 760, 5140, 8033, 2877,
                                                        3145, 3485, 731, 6273, 5120, 471, 1505, 4733, 487,
                                                        1515, 4073, 1949, 6271, 660, 570, 4520, 7893, 4037,
                                                        5276, 1395, 4357, 7330, 6088, 2809, 4767, 7337,
                                                        4205, 2253, 4980, 1243, 2316, 7126, 1099, 4662, 331,
                                                        7972, 4778, 3711, 5493, 7788, 6980, 1071, 755, 654,
                                                        948, 8001, 1222, 4132, 455, 2465, 2598, 3802, 2083,
                                                        5403, 5798, 1813, 2575, 4831, 267, 6453, 7895, 1907,
                                                        4768, 305, 969, 5611, 4020, 3936, 7004, 4807, 3794,
                                                        5007, 7508, 4347, 2578, 1176, 4237, 2274, 4622, 409,
                                                        1796, 5879, 1703, 1905, 7129, 2338, 5982, 6444,
                                                        5348, 7393, 3702, 2198, 3192, 5285, 5939, 4114,
                                                        2030, 5243, 5249
                                                    },
                                                    new[]
                                                    {
                                                        3950, 6034, 4915, 4940, 6318, 157, 311, 4448, 1115,
                                                        3319, 3979, 2392, 4319, 942, 4759, 2559, 4605, 2841,
                                                        468, 5743, 7226, 1515, 5410, 4669, 8123, 5830, 2013,
                                                        6733, 1675, 3339, 7019, 4265, 6923, 6213, 7516,
                                                        2604, 2049, 7163, 5583, 6940, 116, 6797, 6131, 4231,
                                                        6066, 5558, 588, 5681, 387, 7674, 5986, 1568, 1683,
                                                        6139, 6595, 953, 1670, 3246, 4743, 4443, 232, 7729,
                                                        7267, 1904, 3084, 2159, 4830, 7878, 6383, 2852,
                                                        1946, 1607, 6299, 7506, 1519, 727, 6015, 7877, 7850,
                                                        7716, 462, 7830, 1612, 5860, 8156, 4994, 5196, 1343,
                                                        4870, 2922, 7722, 2885, 4001, 5817, 2754, 3210,
                                                        2571, 3276, 2667, 702, 1016, 4758, 2893, 1529, 6101,
                                                        1889, 3014, 5193, 5571, 8127, 875, 7213, 2305, 190,
                                                        2987, 4615, 2782, 3024, 6099, 8163, 6916, 6644,
                                                        7058, 7579, 6391, 6678, 1278, 6671, 1617, 5546,
                                                        1686, 1131, 3381, 6403, 3764, 1053, 3079, 5503,
                                                        4501, 1250, 1709, 1935, 7960, 4256, 4345, 754, 248,
                                                        488, 2815, 4884, 5706, 8045, 3021, 6844, 7548, 4604,
                                                        6165, 1639, 698, 4663, 4436, 1664, 2609, 2901, 5234,
                                                        1614, 7587, 573, 2620, 4871, 1643, 7100, 2160, 896,
                                                        7641, 5033, 3316, 4363, 1900, 4598, 3863, 7375,
                                                        6234, 496, 4458, 5205, 6759, 1174, 645, 936, 7167,
                                                        2177, 651, 7676, 1689, 6423, 69, 6049, 5335, 4840,
                                                        2324, 2908, 7471, 6774, 349, 812, 1731, 4496, 4721,
                                                        1540, 6616, 5255, 6881, 1471, 3878, 5347, 5565,
                                                        8059, 1473, 6080, 107, 5389, 2478, 6310, 2618, 2463,
                                                        3205, 3384, 2656, 4416, 3251, 2494, 5678, 4505,
                                                        4415, 3700, 3182, 5879, 8076, 6545, 6016, 65, 6905,
                                                        4536, 7281, 1985, 2803, 3194, 6938, 2756, 1821,
                                                        3701, 4627, 8145, 2188
                                                    },
                                                    new[]
                                                    {
                                                        2999, 2358, 8026, 7464, 5584, 4478, 2336, 1104, 342,
                                                        1243, 3694, 3980, 7394, 2585, 191, 4429, 909, 5590,
                                                        2020, 5845, 6779, 4616, 3833, 6757, 3595, 2447,
                                                        7692, 8131, 5693, 5190, 906, 2285, 5677, 2195, 1597,
                                                        7536, 1911, 6799, 8062, 7659, 853, 7795, 5955, 6076,
                                                        5393, 3729, 1988, 7904, 1664, 6944, 2229, 1333,
                                                        2806, 6372, 4331, 6691, 7399, 6612, 5476, 992, 1098,
                                                        1036, 1750, 7981, 8049, 213, 3494, 7959, 626, 5619,
                                                        278, 7191, 5793, 4696, 4668, 1625, 391, 675, 1361,
                                                        1, 8076, 800, 7102, 2464, 6067, 1313, 4131, 3735,
                                                        2901, 5136, 2853, 2738, 4993, 2124, 4863, 2655,
                                                        6777, 7820, 3431, 1222, 3634, 6956, 1264, 7727, 952,
                                                        1651, 5646, 2605, 3806, 4143, 3376, 5340, 5769, 810,
                                                        1082, 4324, 650, 2177, 1291, 3858, 2617, 7626, 4781,
                                                        1706, 7731, 6137, 5589, 3288, 335, 7157, 5505, 7783,
                                                        3826, 3781, 4062, 5404, 3388, 5903, 4216, 4968,
                                                        2334, 4007, 7677, 3088, 6362, 1110, 7582, 2406,
                                                        4383, 7497, 7809, 5932, 279, 5554, 5719, 7277, 630,
                                                        532, 7085, 2448, 5486, 1083, 3475, 6253, 6050, 2201,
                                                        2105, 5509, 2888, 4088, 7759, 5073, 4888, 6768,
                                                        5886, 4410, 6870, 7230, 4823, 6402, 2573, 2002,
                                                        4775, 3188, 963, 3323, 194, 1397, 8102, 6722, 2078,
                                                        8020, 348, 6595, 2152, 4883, 3085, 5549, 7487, 4779,
                                                        3020, 6326, 6802, 1174, 188, 3502, 1715, 7028, 2288,
                                                        6599, 2472, 848, 5614, 6463, 4815, 6060, 3969, 4703,
                                                        1238, 3862, 6842, 3280, 7819, 7443, 132, 7286, 327,
                                                        2960, 7412, 7890, 5832, 6995, 4695, 7636, 4348,
                                                        3220, 186, 3990, 4154, 4719, 2041, 5133, 4497, 3757,
                                                        8042, 7411, 3093, 7225, 1286, 3795, 3577, 2748, 840,
                                                        5487, 3865
                                                    },
                                                    new[]
                                                    {
                                                        5423, 7961, 2417, 2163, 5035, 6715, 1522, 367, 6307,
                                                        1779, 881, 200, 747, 3110, 1083, 4113, 780, 6061,
                                                        603, 904, 6047, 156, 3278, 7721, 3352, 5029, 5619,
                                                        3034, 4002, 7788, 6552, 476, 4955, 4343, 5005, 6749,
                                                        1242, 4708, 4724, 1781, 1402, 1306, 7563, 191, 922,
                                                        503, 1189, 1290, 1820, 5862, 7412, 7009, 7951, 6875,
                                                        681, 7343, 2607, 3128, 1962, 3721, 46, 5875, 6260,
                                                        5230, 5026, 2217, 7764, 6548, 6214, 6168, 5585, 22,
                                                        5138, 5878, 7565, 4840, 2502, 3881, 7474, 4227,
                                                        6625, 2661, 5652, 1593, 7269, 8105, 4379, 5242,
                                                        4314, 1699, 7758, 1927, 3970, 2255, 806, 3389, 647,
                                                        2688, 891, 6108, 3195, 2184, 1065, 7530, 3012, 6687,
                                                        1423, 7096, 3609, 4009, 311, 7600, 2796, 6212, 7780,
                                                        3757, 622, 7426, 8169, 2472, 6112, 3827, 5025, 7695,
                                                        3032, 1121, 7820, 5918, 5870, 5489, 7713, 409, 3943,
                                                        1137, 418, 4893, 2149, 3168, 4991, 7019, 4757, 3291,
                                                        2303, 602, 1114, 5107, 345, 4310, 7031, 2115, 5277,
                                                        7766, 2722, 5018, 7275, 7723, 2229, 1141, 7231,
                                                        3407, 6158, 8088, 902, 5779, 3261, 4187, 724, 4189,
                                                        3741, 4222, 3323, 5937, 1934, 6152, 1571, 5237,
                                                        3846, 5421, 2685, 3617, 2994, 119, 4675, 7779, 3664,
                                                        498, 880, 1026, 5019, 251, 4790, 3984, 667, 4839,
                                                        4509, 793, 2754, 2791, 7055, 6023, 3221, 1233, 5257,
                                                        2704, 5315, 7728, 7842, 5860, 4518, 1580, 1813,
                                                        2636, 5021, 2487, 4254, 6911, 1009, 577, 6603, 3764,
                                                        5785, 5477, 786, 2085, 7121, 4609, 4462, 604, 6021,
                                                        5867, 637, 6433, 7402, 4325, 6156, 7034, 6652, 2154,
                                                        4521, 7651, 7785, 4667, 7618, 4539, 6198, 5011, 143,
                                                        6196, 4025, 1134, 4516, 546, 4586, 2113, 3409
                                                    },
                                                    new[]
                                                    {
                                                        434, 3232, 5014, 6070, 4977, 7336, 4352, 7120, 4449,
                                                        4659, 6503, 6956, 5235, 5487, 6115, 7098, 683, 2497,
                                                        4286, 3180, 3937, 4946, 3292, 4624, 6970, 3190,
                                                        4568, 274, 1132, 6495, 2756, 6685, 671, 5028, 2722,
                                                        2617, 6122, 4957, 5204, 5506, 7277, 1363, 2275, 379,
                                                        5809, 1332, 2572, 5443, 2957, 3381, 5603, 7588, 976,
                                                        5827, 344, 1507, 6237, 1630, 1373, 6509, 4066, 3658,
                                                        3569, 1892, 6441, 7455, 2050, 4460, 228, 2916, 6739,
                                                        6933, 3084, 5196, 7954, 2701, 731, 7694, 326, 5815,
                                                        2025, 1608, 2058, 7124, 971, 5516, 7298, 4690, 1161,
                                                        1897, 3053, 7224, 7964, 8092, 4623, 3713, 396, 5160,
                                                        1399, 1754, 2672, 3374, 5052, 3530, 1105, 315, 4300,
                                                        616, 5884, 5915, 5857, 5230, 6756, 5050, 249, 4104,
                                                        3228, 1803, 2766, 6645, 6508, 510, 4025, 166, 3694,
                                                        889, 7842, 1329, 4675, 6680, 408, 7822, 1684, 5226,
                                                        8143, 1285, 1523, 5221, 5863, 7554, 5634, 4163,
                                                        4664, 1001, 4365, 2199, 4127, 1002, 2755, 4087,
                                                        2938, 6331, 1604, 146, 3026, 4578, 854, 46, 8029,
                                                        1814, 3167, 7146, 483, 7569, 6294, 1885, 2061, 5925,
                                                        1071, 569, 3103, 6318, 3617, 8019, 437, 4876, 4954,
                                                        3280, 4576, 1479, 7227, 5867, 495, 815, 3612, 3342,
                                                        7729, 2588, 2719, 7656, 1099, 740, 7349, 7425, 4802,
                                                        6610, 5905, 1625, 2934, 1835, 2727, 7417, 6588,
                                                        3631, 5456, 2445, 129, 3011, 1715, 4463, 4708, 6996,
                                                        4833, 5489, 3751, 723, 7545, 4740, 7977, 1024, 1605,
                                                        7372, 6763, 5946, 1662, 1294, 3587, 1264, 4677, 661,
                                                        8013, 3307, 5733, 1549, 4906, 7015, 5306, 7486,
                                                        4131, 5873, 506, 4346, 8069, 6615, 6507, 969, 2590,
                                                        6837, 5966, 3810, 4596, 4867, 3150, 6720, 2627
                                                    },
                                                    new[]
                                                    {
                                                        4764, 6934, 7289, 8098, 551, 5674, 62, 252, 5565,
                                                        949, 501, 6020, 1267, 2882, 3573, 3328, 6865, 5154,
                                                        483, 3383, 1125, 4836, 3056, 7263, 7873, 6768, 1411,
                                                        6554, 2908, 7974, 2940, 7814, 6711, 2555, 5797,
                                                        1289, 7757, 2307, 1099, 1511, 543, 7681, 3291, 6431,
                                                        3329, 1207, 1292, 3495, 826, 7364, 7783, 6822, 5142,
                                                        1469, 6724, 3727, 4375, 5611, 1933, 908, 3699, 7878,
                                                        2413, 1157, 2517, 3683, 5371, 6256, 7531, 1975,
                                                        1863, 3555, 2932, 2801, 3210, 2756, 1844, 4665,
                                                        2711, 358, 7007, 2436, 7912, 5759, 3926, 7718, 5570,
                                                        2859, 5559, 5325, 2657, 1622, 7163, 6058, 1252,
                                                        2832, 5866, 4864, 6692, 1956, 1880, 2591, 7001,
                                                        7219, 3760, 841, 1465, 6460, 3751, 6232, 7771, 3288,
                                                        4578, 8060, 7083, 7975, 175, 4348, 6133, 2549, 2947,
                                                        2677, 1890, 6858, 5446, 5267, 7045, 3255, 4204, 377,
                                                        762, 5688, 716, 1797, 6048, 6254, 4932, 7097, 5148,
                                                        771, 1831, 6926, 4547, 5186, 8002, 3931, 391, 2862,
                                                        6258, 7457, 7694, 7400, 205, 8066, 1830, 4453, 5957,
                                                        5295, 6112, 1989, 3639, 3705, 5368, 6479, 4520,
                                                        4497, 4247, 397, 968, 1032, 439, 3287, 262, 7652,
                                                        6543, 4275, 2636, 5689, 6137, 8003, 256, 8097, 2858,
                                                        5826, 4967, 1408, 41, 6051, 6415, 4653, 7365, 3176,
                                                        7896, 5412, 7416, 7539, 7622, 7510, 7098, 7434,
                                                        7164, 7729, 2268, 3819, 4909, 684, 69, 4091, 4646,
                                                        2240, 7793, 6562, 7266, 7820, 2553, 4954, 275, 7320,
                                                        5918, 574, 3151, 6797, 3232, 2453, 4324, 6689, 221,
                                                        3189, 2945, 6611, 7645, 639, 6141, 6, 2849, 845,
                                                        515, 3150, 3548, 2054, 6516, 7041, 7707, 557, 6089,
                                                        6219, 7091, 4634, 4527, 6314, 4280, 5534, 5138,
                                                        2737, 1751
                                                    },
                                                    new[]
                                                    {
                                                        4000, 445, 2410, 1804, 6859, 8042, 535, 4587, 5491,
                                                        5434, 7560, 2034, 7975, 472, 6034, 1645, 2128, 3764,
                                                        1747, 6479, 3171, 5, 1112, 296, 5768, 457, 3368,
                                                        709, 3216, 5502, 4894, 2514, 3617, 6132, 7135, 8049,
                                                        7115, 2517, 1339, 1321, 5870, 6827, 1547, 2703,
                                                        5253, 864, 6586, 882, 101, 5897, 1065, 223, 3918,
                                                        7326, 4913, 1757, 6156, 4847, 7745, 6531, 4474,
                                                        7248, 147, 5092, 1042, 106, 2228, 8173, 4853, 7803,
                                                        7475, 6630, 2037, 7882, 2762, 6963, 7143, 4560,
                                                        2527, 2508, 3212, 5203, 830, 1424, 2776, 5791, 2203,
                                                        1598, 3130, 5128, 2969, 5899, 4702, 700, 6806, 3275,
                                                        7395, 7658, 3612, 7119, 7416, 3813, 8153, 3775, 434,
                                                        6964, 4588, 8019, 2790, 4693, 7164, 7946, 1494,
                                                        4740, 2654, 8165, 5721, 3120, 419, 7371, 6514, 4459,
                                                        5286, 6196, 5617, 3939, 5557, 6131, 6801, 7219,
                                                        6282, 8130, 4188, 4812, 5155, 4746, 2688, 1524,
                                                        2367, 4808, 6212, 5873, 6265, 5843, 890, 6657, 3061,
                                                        8132, 183, 3567, 7990, 7858, 5700, 7682, 2983, 6287,
                                                        2129, 2233, 5094, 3667, 4203, 334, 4511, 7452, 7493,
                                                        8172, 3911, 2950, 8155, 5186, 6480, 4649, 1382,
                                                        3982, 5163, 7118, 4211, 7669, 3078, 6364, 5397,
                                                        3145, 5343, 1753, 2884, 5464, 5086, 4526, 7068,
                                                        6070, 4935, 2896, 4615, 4327, 6197, 5259, 3186,
                                                        6784, 3744, 6007, 5411, 6280, 708, 7911, 578, 4347,
                                                        937, 5257, 5758, 816, 660, 3516, 1100, 2536, 3692,
                                                        1693, 4366, 8073, 4721, 6345, 90, 2842, 2475, 2046,
                                                        6767, 4928, 7113, 7844, 4850, 3609, 3586, 5509,
                                                        1241, 1570, 669, 4483, 3832, 571, 3067, 6022, 3147,
                                                        406, 5738, 3942, 6181, 7294, 3967, 4286, 3625, 3795,
                                                        7644, 3494, 5573, 3277, 5921
                                                    },
                                                    new[]
                                                    {
                                                        7645, 6991, 2555, 5139, 2303, 5482, 4360, 1028,
                                                        2550, 4211, 1577, 1128, 4161, 182, 2574, 2585, 2018,
                                                        7740, 7890, 3164, 4219, 6348, 714, 5112, 325, 221,
                                                        1651, 2434, 3100, 3889, 4835, 6134, 1324, 4359,
                                                        7857, 282, 5619, 7596, 5393, 409, 686, 2991, 6354,
                                                        6051, 2739, 6404, 2333, 3196, 647, 6076, 1396, 1763,
                                                        6088, 6001, 1644, 7933, 3489, 235, 8022, 1322, 7675,
                                                        2234, 5259, 1144, 1981, 1878, 346, 4954, 2508, 3924,
                                                        3955, 7837, 159, 855, 8, 4729, 6860, 7913, 2683,
                                                        5878, 7962, 4342, 4252, 4918, 4923, 5235, 5641,
                                                        6720, 4908, 5787, 8132, 7576, 5232, 3405, 4969, 286,
                                                        4637, 1708, 7946, 875, 8172, 5589, 1043, 7752, 5796,
                                                        223, 6848, 888, 946, 1531, 1711, 107, 5967, 658,
                                                        4089, 2685, 8135, 3494, 4781, 3826, 3280, 571, 3068,
                                                        2505, 4344, 712, 3283, 2147, 7437, 6803, 3111, 6200,
                                                        3054, 2317, 3486, 2903, 4209, 4973, 6390, 4228,
                                                        3161, 1749, 5375, 4601, 1681, 7589, 901, 7597, 6031,
                                                        2459, 5011, 4741, 8186, 2587, 465, 7297, 6504, 2414,
                                                        2376, 3195, 4633, 7831, 94, 4487, 7475, 907, 688,
                                                        832, 5056, 7717, 786, 1193, 1133, 4380, 6743, 3763,
                                                        3257, 1276, 8039, 7855, 4379, 1876, 6646, 124, 2671,
                                                        2657, 1426, 2026, 787, 5888, 5405, 4926, 884, 3458,
                                                        6702, 4413, 106, 1904, 6889, 7814, 344, 5629, 3441,
                                                        2950, 3207, 4534, 1621, 776, 7714, 556, 4469, 6294,
                                                        4572, 1168, 8023, 4616, 2250, 5441, 4543, 119, 3448,
                                                        2134, 7817, 93, 1922, 3055, 6885, 8064, 4624, 7873,
                                                        536, 7155, 6289, 835, 7432, 6934, 4152, 6840, 3822,
                                                        7087, 1747, 393, 4445, 7739, 5234, 67, 1176, 6727,
                                                        1010, 2746, 3714, 35, 1460, 5973, 1485
                                                    },
                                                    new[]
                                                    {
                                                        3697, 6321, 6705, 2144, 3681, 2487, 6926, 5522,
                                                        6800, 6193, 2001, 6970, 7704, 6324, 5999, 582, 3888,
                                                        6805, 6784, 819, 1700, 240, 1475, 6114, 1974, 5244,
                                                        6811, 7869, 3406, 6682, 1825, 1299, 458, 5976, 5012,
                                                        5038, 1275, 7722, 5023, 1857, 2067, 3727, 5908,
                                                        7395, 5089, 6861, 8162, 1395, 326, 5919, 2560, 6512,
                                                        7962, 2893, 5938, 12, 2745, 2838, 7557, 7902, 6853,
                                                        337, 4531, 1881, 7228, 5544, 4469, 1735, 6656, 7320,
                                                        1209, 7520, 3896, 2986, 2581, 6680, 1841, 7921,
                                                        7835, 7393, 4923, 3011, 4996, 1730, 4527, 2232,
                                                        7844, 6240, 1508, 5379, 2313, 1831, 6547, 6580,
                                                        5090, 4199, 4815, 2038, 6945, 5026, 6555, 5916,
                                                        7575, 2709, 7551, 3309, 2608, 7315, 3404, 2021,
                                                        2741, 4701, 2808, 8156, 3449, 6278, 3807, 7230,
                                                        2549, 7031, 1970, 5612, 8034, 4032, 3745, 5691,
                                                        1485, 6013, 7269, 5582, 2705, 4973, 3869, 1351,
                                                        4955, 1514, 3, 4281, 7737, 5331, 3172, 327, 6549,
                                                        6039, 134, 5206, 3926, 7483, 6874, 2812, 4672, 6256,
                                                        3262, 6642, 4263, 7631, 2641, 2609, 6534, 2473,
                                                        5771, 2716, 1663, 6729, 541, 5139, 4117, 8147, 3700,
                                                        3305, 4202, 417, 7137, 5959, 5514, 5789, 2182, 40,
                                                        1874, 1042, 3094, 1562, 3754, 8131, 6831, 2207,
                                                        2157, 5726, 5413, 2903, 7381, 5082, 807, 4795, 3954,
                                                        2154, 4017, 5403, 7080, 5765, 8121, 7207, 921, 3104,
                                                        280, 2814, 4149, 4120, 6010, 1131, 2248, 6227, 271,
                                                        1992, 5574, 450, 4432, 404, 5644, 5579, 5734, 5265,
                                                        1016, 2990, 4583, 6415, 8155, 6792, 2835, 971, 2804,
                                                        1347, 7874, 358, 1907, 3391, 2053, 5113, 3356, 7259,
                                                        7614, 6242, 1376, 3376, 5598, 1133, 1941, 7467,
                                                        5266, 2389, 528, 6596, 5714, 5954, 4707
                                                    },
                                                    new[]
                                                    {
                                                        7949, 4572, 7934, 8183, 8051, 4756, 5879, 7977,
                                                        2210, 878, 1536, 4824, 2034, 3526, 7869, 4942, 6159,
                                                        4705, 6531, 8017, 2029, 8109, 2017, 5127, 6438,
                                                        3297, 4115, 4553, 5776, 4500, 4544, 6765, 5882,
                                                        1625, 2005, 7637, 5713, 3259, 7647, 895, 2925, 1350,
                                                        6895, 5953, 7412, 4720, 1760, 1490, 2165, 1859,
                                                        6833, 2881, 2503, 5026, 7962, 3266, 1119, 1935,
                                                        6874, 7592, 464, 4242, 1552, 5928, 526, 551, 4187,
                                                        6989, 3365, 7970, 4857, 5913, 6905, 5503, 4281, 535,
                                                        1224, 597, 6369, 5197, 6138, 6533, 5199, 1693, 1411,
                                                        902, 1284, 6571, 1726, 1843, 5708, 2264, 1532, 2252,
                                                        4009, 4021, 4124, 6355, 80, 6149, 1000, 672, 88,
                                                        4408, 2714, 5650, 3963, 7094, 6190, 1011, 2636,
                                                        6580, 3368, 3696, 6767, 4560, 1902, 6745, 2578,
                                                        6594, 7241, 6556, 886, 192, 1459, 3374, 2021, 4932,
                                                        2065, 7580, 7853, 7850, 8092, 7827, 6699, 4379,
                                                        2254, 3171, 5438, 1312, 22, 128, 4670, 2816, 7144,
                                                        1982, 1341, 5554, 6608, 4902, 4509, 2059, 5411, 393,
                                                        2944, 5059, 6561, 6947, 3320, 3949, 2489, 4475,
                                                        1428, 1310, 3337, 375, 3926, 1668, 2941, 2019, 2398,
                                                        3689, 7225, 2558, 278, 2148, 1446, 461, 1339, 695,
                                                        6448, 6450, 4557, 6851, 2509, 1539, 2319, 3865,
                                                        7817, 6050, 6574, 2154, 1688, 7304, 6307, 2258,
                                                        2990, 5143, 5329, 7705, 7825, 6979, 5855, 760, 3229,
                                                        6569, 2274, 2643, 6268, 2593, 3827, 5173, 6697,
                                                        1466, 4685, 5828, 7565, 7366, 5922, 7828, 5117,
                                                        3844, 1678, 3507, 1565, 4645, 1704, 5344, 7967,
                                                        2802, 3440, 1419, 5373, 3675, 4646, 892, 3693, 1770,
                                                        5524, 6286, 1940, 3395, 3198, 2712, 5899, 5164,
                                                        7910, 4914, 1769, 1522, 910, 7591, 7313, 6529, 312
                                                    },
                                                    new[]
                                                    {
                                                        6855, 1338, 398, 1173, 7716, 1373, 4356, 848, 4129,
                                                        6570, 1119, 7483, 982, 4735, 2924, 4800, 1781, 206,
                                                        4065, 1752, 91, 749, 5569, 242, 5263, 4397, 1491,
                                                        3445, 5047, 226, 7570, 992, 2672, 2120, 3360, 6587,
                                                        1975, 4016, 6798, 4761, 7125, 5988, 7398, 2248,
                                                        1483, 149, 786, 3267, 5294, 298, 1694, 5558, 7427,
                                                        328, 4890, 1291, 517, 6351, 7994, 7430, 3584, 468,
                                                        508, 4095, 5054, 7000, 7640, 7305, 8103, 1607, 7529,
                                                        4691, 1195, 1759, 2086, 4581, 3499, 6526, 876, 2933,
                                                        1869, 1339, 5780, 3634, 6019, 5916, 960, 894, 6156,
                                                        8007, 7259, 8170, 6578, 7669, 118, 4357, 7976, 6496,
                                                        5317, 569, 1891, 6240, 4206, 5003, 3617, 7104, 4333,
                                                        2147, 3166, 4345, 106, 8077, 5343, 4803, 4943, 3427,
                                                        1479, 4034, 2432, 6987, 8027, 4986, 6093, 3168, 505,
                                                        5218, 2383, 1061, 7106, 2743, 3721, 6468, 1104,
                                                        3446, 7674, 6935, 5133, 5143, 5594, 5259, 248, 341,
                                                        1417, 8175, 432, 1185, 44, 577, 7881, 5995, 1382,
                                                        3595, 1120, 3650, 2204, 3029, 6507, 2231, 592, 6973,
                                                        7063, 4978, 7152, 361, 420, 3119, 6774, 3976, 3704,
                                                        5834, 8018, 5657, 3775, 6344, 2674, 2265, 1499,
                                                        5035, 7737, 1378, 969, 117, 892, 636, 7473, 3186,
                                                        3967, 7048, 1094, 7557, 6879, 7545, 4933, 6780, 449,
                                                        6137, 5931, 2079, 532, 2897, 39, 4029, 2057, 62,
                                                        3534, 1990, 2889, 4760, 1756, 4287, 3827, 2087,
                                                        4459, 4148, 3064, 5515, 6922, 7824, 4011, 2162,
                                                        4781, 3454, 2855, 4456, 2737, 6576, 2343, 2858,
                                                        6974, 4623, 2221, 7037, 3552, 6588, 7736, 2381,
                                                        7096, 2074, 4060, 2899, 1078, 299, 2482, 189, 1470,
                                                        6643, 889, 2955, 1732, 5455, 731, 6998, 2445, 7231,
                                                        6357
                                                    },
                                                    new[]
                                                    {
                                                        4250, 2547, 1287, 6815, 7041, 5467, 916, 2933, 3859,
                                                        1626, 1456, 3198, 2743, 1655, 1037, 47, 1329, 5063,
                                                        3632, 2689, 4655, 1335, 8179, 6952, 6969, 5144,
                                                        2398, 4538, 1795, 3864, 2139, 5835, 5569, 5648, 349,
                                                        3142, 7778, 3712, 7206, 6961, 5311, 6504, 1082,
                                                        2922, 7062, 3926, 3956, 2455, 7642, 2474, 5644,
                                                        1753, 258, 6936, 2996, 3679, 5459, 8187, 2692, 2661,
                                                        2372, 1761, 5344, 4617, 99, 621, 1629, 456, 6006,
                                                        1477, 4227, 6484, 7179, 6080, 2357, 7021, 6215,
                                                        6788, 5075, 3159, 7109, 1555, 1185, 620, 1318, 6054,
                                                        4508, 6107, 6582, 3745, 4158, 5852, 2760, 7506,
                                                        6904, 726, 2168, 7561, 7339, 1374, 4416, 4328, 912,
                                                        1686, 1130, 7966, 256, 1026, 133, 7909, 3479, 3528,
                                                        3699, 297, 3842, 4649, 2126, 5446, 626, 3304, 3391,
                                                        3187, 3780, 1657, 3981, 2334, 6846, 4124, 3007,
                                                        6405, 6085, 46, 1192, 4953, 4054, 3504, 4015, 6129,
                                                        208, 585, 6020, 7618, 1279, 4510, 4758, 5074, 4134,
                                                        4277, 4584, 4435, 8002, 1986, 2131, 6700, 7192, 662,
                                                        8132, 3005, 2768, 2343, 4272, 262, 4136, 3267, 299,
                                                        3836, 1553, 5380, 5869, 3163, 7001, 4312, 837, 2070,
                                                        7547, 5946, 7357, 5773, 4163, 4706, 1383, 557, 4560,
                                                        7186, 7286, 7705, 4536, 6031, 859, 3388, 1463, 7063,
                                                        5854, 5011, 6660, 6270, 3869, 2935, 4344, 816, 1724,
                                                        3552, 6351, 7837, 7600, 7482, 2694, 5386, 6164,
                                                        2464, 4672, 1940, 677, 6010, 3716, 3225, 7868, 4204,
                                                        6498, 7208, 3046, 4544, 3149, 530, 3803, 4643, 4002,
                                                        6524, 2902, 6635, 5974, 2371, 6601, 1820, 3472,
                                                        7629, 4528, 7990, 36, 829, 3091, 2419, 1507, 1173,
                                                        5605, 4657, 2656, 5989, 7917, 4274, 1548, 6499,
                                                        2616, 5895, 3644
                                                    },
                                                    new[]
                                                    {
                                                        2599, 5076, 1056, 3905, 4386, 4864, 3256, 4726,
                                                        7502, 7694, 7006, 364, 1650, 862, 5550, 985, 6672,
                                                        7584, 8181, 7809, 750, 7704, 823, 826, 6530, 3709,
                                                        7511, 6658, 3487, 339, 6519, 1135, 2143, 5735, 5716,
                                                        1515, 3972, 5692, 8038, 737, 5533, 4656, 5079, 3374,
                                                        1630, 5436, 5542, 5192, 4767, 1177, 4599, 3817,
                                                        5839, 3742, 4393, 1580, 4905, 3700, 4427, 5355,
                                                        7345, 7154, 1313, 2012, 2973, 6880, 1697, 5917,
                                                        3825, 7389, 33, 343, 1824, 8007, 261, 1780, 139,
                                                        7499, 3681, 3819, 4882, 6458, 3527, 7009, 5156,
                                                        5816, 7580, 3913, 7183, 3599, 1469, 827, 4516, 6113,
                                                        3383, 4183, 5409, 3678, 41, 5821, 4432, 1232, 6896,
                                                        1485, 6330, 6338, 3097, 6209, 4149, 1386, 6306,
                                                        6285, 3894, 6029, 7037, 3388, 7720, 130, 4401, 1200,
                                                        6390, 7224, 84, 2157, 6370, 4717, 6833, 4731, 4461,
                                                        993, 5452, 7192, 141, 7857, 2413, 7021, 6967, 7983,
                                                        857, 1792, 487, 2297, 3173, 1071, 7291, 977, 7605,
                                                        3267, 4366, 438, 443, 4711, 7445, 5877, 6704, 144,
                                                        5407, 7049, 3680, 4970, 7834, 3046, 3349, 3285,
                                                        1953, 558, 1667, 3134, 2908, 6177, 5568, 3917, 2388,
                                                        3194, 3075, 3244, 5923, 7414, 7215, 5849, 5480,
                                                        2704, 2861, 2179, 6440, 2872, 2401, 1693, 915, 4326,
                                                        6329, 3457, 5575, 3448, 2546, 4377, 2351, 7901,
                                                        1475, 8158, 4668, 4428, 7718, 3404, 6305, 2211,
                                                        5770, 1584, 852, 6657, 3652, 6966, 4790, 5974, 1457,
                                                        1561, 7726, 3276, 3596, 5374, 2111, 5881, 8081,
                                                        7305, 5241, 5778, 5189, 1559, 528, 460, 2764, 4176,
                                                        8053, 6317, 1619, 1229, 7081, 1189, 7225, 4392,
                                                        5423, 1044, 7555, 5058, 7995, 3098, 6842, 1739,
                                                        3510, 2194, 4458, 6974, 5209, 1545, 4274
                                                    },
                                                    new[]
                                                    {
                                                        3220, 7543, 1473, 6968, 4524, 4583, 7056, 1426,
                                                        7449, 4494, 588, 7676, 950, 5498, 5879, 3933, 6100,
                                                        2879, 4950, 6597, 4761, 7012, 7322, 381, 4715, 4076,
                                                        5432, 6541, 78, 5243, 522, 4777, 4021, 3711, 1905,
                                                        2004, 1048, 5051, 4839, 6729, 4168, 6931, 2368, 434,
                                                        689, 8069, 2631, 2857, 1363, 3264, 1962, 1231, 7119,
                                                        7408, 2168, 4456, 2904, 5825, 8150, 2323, 1228,
                                                        3178, 5465, 1483, 2166, 690, 1502, 799, 5140, 5022,
                                                        5916, 2693, 43, 7637, 4165, 796, 5481, 6461, 3141,
                                                        7313, 3139, 2450, 5188, 7546, 7804, 6890, 4844,
                                                        6402, 1398, 1650, 446, 4231, 712, 6000, 3503, 3764,
                                                        4310, 1163, 4347, 1357, 5547, 2175, 1183, 3287,
                                                        6137, 2251, 3632, 7545, 4503, 1939, 6601, 1049,
                                                        2604, 4836, 7191, 7358, 2928, 7051, 1843, 1373,
                                                        1288, 2690, 2176, 6685, 8011, 3484, 1469, 344, 7467,
                                                        8147, 5841, 7622, 619, 6005, 1268, 2023, 8026, 7972,
                                                        3595, 1753, 1111, 3145, 3733, 5082, 4999, 7317, 719,
                                                        1478, 4435, 27, 39, 4510, 4737, 2819, 4531, 5044,
                                                        5257, 8139, 4536, 2403, 7496, 2602, 3930, 7611,
                                                        7225, 514, 2731, 5287, 1044, 4831, 2757, 1897, 5998,
                                                        7921, 3766, 4706, 7132, 1766, 7571, 7518, 770, 1670,
                                                        3497, 6687, 4208, 163, 5075, 1076, 254, 7955, 3696,
                                                        4162, 7196, 5048, 7485, 4338, 3045, 3158, 5177,
                                                        7831, 3904, 5571, 2719, 6287, 5235, 8020, 3488,
                                                        5047, 7668, 3293, 2315, 4931, 0, 7867, 1996, 569,
                                                        5958, 2353, 7992, 6183, 6749, 4750, 4860, 957, 2047,
                                                        2905, 5490, 6888, 5634, 2299, 2308, 70, 3752, 4016,
                                                        5611, 2431, 594, 3061, 1255, 2550, 4219, 4756, 3370,
                                                        4142, 4741, 998, 1074, 8173, 4434, 3817, 2748, 2240,
                                                        4552, 5669, 4509
                                                    },
                                                    new[]
                                                    {
                                                        4636, 5452, 2596, 7827, 4393, 5943, 1781, 4525,
                                                        5009, 2184, 6431, 5951, 6973, 5426, 2635, 7328,
                                                        7075, 5846, 4295, 471, 5455, 5269, 737, 2935, 3025,
                                                        672, 7142, 7731, 532, 358, 6068, 1775, 2920, 4596,
                                                        4040, 4686, 4003, 5877, 5028, 5861, 1799, 1588, 814,
                                                        3469, 2242, 5129, 3181, 7687, 4115, 2313, 4925,
                                                        1696, 7578, 5513, 153, 657, 3553, 5995, 3715, 2142,
                                                        7936, 1738, 686, 1720, 5849, 2302, 7349, 2933, 1037,
                                                        1852, 4581, 7959, 1569, 4556, 7811, 6098, 1898,
                                                        4597, 6185, 679, 6233, 1361, 3694, 6673, 1327, 4345,
                                                        4837, 2050, 399, 3447, 3115, 3936, 5073, 5588, 2976,
                                                        1620, 1872, 948, 6790, 6748, 6336, 2366, 5537, 1216,
                                                        5387, 5610, 5911, 2296, 590, 5289, 6685, 3621, 2723,
                                                        2960, 2601, 4156, 726, 6480, 1990, 2794, 2681, 8036,
                                                        2674, 2207, 2944, 7802, 1747, 1825, 5621, 1498,
                                                        2510, 3486, 4247, 1714, 2950, 6635, 8095, 571, 1495,
                                                        3453, 7597, 5089, 332, 789, 4866, 6047, 5619, 5101,
                                                        4341, 3355, 2259, 3700, 2680, 5711, 2473, 4707,
                                                        3756, 257, 5254, 1762, 617, 1780, 312, 4370, 4818,
                                                        2396, 2123, 1842, 8189, 1270, 4550, 3488, 3549,
                                                        4511, 7359, 730, 364, 4193, 270, 7057, 7777, 7795,
                                                        4644, 4628, 7150, 3195, 5586, 3648, 3538, 2519, 818,
                                                        758, 4111, 6203, 3039, 3392, 7324, 2121, 5266, 3408,
                                                        4848, 2677, 2963, 6332, 3142, 194, 6010, 7767, 1757,
                                                        313, 4016, 4398, 2620, 5896, 879, 4418, 4577, 5595,
                                                        357, 7196, 5888, 606, 4353, 8146, 678, 989, 2636,
                                                        4999, 1195, 642, 2836, 6322, 7472, 4854, 5329, 5241,
                                                        7340, 2594, 2502, 7351, 6153, 4977, 7638, 8117,
                                                        2340, 807, 6556, 6112, 4923, 5060, 3365, 6990, 3869,
                                                        3599, 1828
                                                    },
                                                    new[]
                                                    {
                                                        1741, 6923, 5514, 4858, 2715, 4244, 5283, 8005,
                                                        2303, 5149, 7870, 3468, 1067, 4840, 7750, 3300, 321,
                                                        5148, 5074, 4336, 4600, 6823, 6964, 6749, 7755,
                                                        4663, 6966, 4976, 2253, 6776, 659, 3229, 314, 8082,
                                                        3567, 212, 5328, 3492, 250, 6652, 408, 904, 7893,
                                                        73, 217, 6005, 3610, 3880, 6580, 2062, 1160, 1236,
                                                        2851, 1398, 8143, 6242, 2086, 2343, 1310, 3416,
                                                        6914, 7760, 7065, 951, 2908, 5388, 6579, 5370, 2724,
                                                        1392, 4945, 6255, 7118, 1677, 6367, 7834, 6735,
                                                        7000, 7213, 5265, 1326, 1802, 2795, 4581, 4351, 924,
                                                        7035, 2721, 3464, 7548, 3585, 7220, 2298, 6549,
                                                        3964, 5945, 8048, 2579, 4585, 2516, 8133, 6201,
                                                        2386, 4384, 3910, 1246, 2274, 3447, 5206, 6697,
                                                        6203, 6640, 6002, 313, 2141, 7339, 7606, 5201, 2778,
                                                        2934, 892, 4228, 6949, 5389, 4241, 7727, 7836, 4827,
                                                        4941, 379, 4690, 7793, 3424, 1545, 5757, 5244, 176,
                                                        1946, 6813, 4432, 3491, 3846, 7773, 3433, 599, 5423,
                                                        6794, 6612, 3899, 2527, 5911, 4758, 5352, 5723,
                                                        4383, 4347, 4597, 1940, 7633, 2364, 7009, 2676,
                                                        1502, 3437, 6531, 1522, 5656, 474, 928, 4620, 2000,
                                                        7701, 1921, 7672, 8006, 7766, 6397, 4685, 4060,
                                                        7129, 4493, 5401, 8121, 860, 2421, 2391, 4240, 6452,
                                                        1349, 7761, 5667, 8124, 242, 1282, 1320, 2879, 288,
                                                        2986, 1907, 7383, 2797, 4191, 5019, 3494, 2477,
                                                        5580, 6337, 6601, 4315, 8065, 7420, 2149, 2554,
                                                        2028, 1401, 2686, 4223, 6866, 4701, 4884, 5178,
                                                        4220, 1037, 6424, 6692, 5985, 7644, 2614, 823, 1025,
                                                        4178, 1106, 3212, 4438, 4029, 2220, 3984, 5838,
                                                        1709, 5003, 8127, 1799, 4587, 3077, 961, 77, 5956,
                                                        4823, 4815, 1526, 5803, 8022, 3907, 769, 350
                                                    },
                                                    new[]
                                                    {
                                                        3840, 7747, 6315, 565, 6039, 2938, 5152, 7417, 2600,
                                                        2548, 1954, 2964, 7118, 1459, 7576, 3842, 2703,
                                                        1496, 7150, 481, 915, 2940, 3594, 2310, 4060, 3352,
                                                        1733, 7233, 1476, 1952, 2269, 3595, 5967, 2306,
                                                        6737, 7066, 5770, 3379, 2673, 1151, 5965, 2025,
                                                        3339, 8104, 5759, 3495, 834, 4330, 6154, 7004, 7313,
                                                        5619, 1616, 1811, 6519, 2391, 4560, 1141, 6807, 473,
                                                        5609, 3505, 7817, 5036, 807, 7872, 1849, 742, 7684,
                                                        3219, 609, 5108, 90, 1890, 6966, 3517, 4053, 992,
                                                        1681, 6591, 3060, 7162, 7011, 7928, 6435, 941, 2038,
                                                        3837, 1575, 6110, 4839, 5087, 2836, 7497, 5707, 727,
                                                        2050, 6801, 1708, 4470, 3021, 4372, 4200, 7795,
                                                        5587, 1776, 4544, 4441, 8125, 1931, 1087, 6596,
                                                        2665, 1369, 3584, 5824, 5538, 4383, 2988, 7024,
                                                        2873, 5008, 7580, 4920, 5317, 1223, 7984, 6070,
                                                        8182, 2389, 2252, 4463, 4081, 8064, 4609, 6606,
                                                        2270, 3388, 4545, 3252, 7970, 5577, 5005, 170, 3998,
                                                        4972, 4147, 1315, 1843, 77, 6340, 2629, 785, 7900,
                                                        2637, 5232, 173, 3611, 35, 151, 5631, 7595, 4407,
                                                        8005, 76, 5021, 2162, 4436, 138, 5764, 6171, 711,
                                                        1242, 8143, 369, 4045, 494, 8083, 5952, 1429, 2482,
                                                        2204, 5986, 150, 3684, 1833, 1243, 3255, 926, 3345,
                                                        3, 4178, 6430, 336, 114, 3137, 1559, 4221, 685,
                                                        2527, 2209, 2839, 8037, 7253, 6984, 7159, 1029,
                                                        4243, 7708, 556, 3711, 2747, 246, 6587, 4379, 3498,
                                                        697, 2091, 2188, 1510, 4827, 8029, 1314, 3115, 533,
                                                        7480, 2265, 444, 7468, 2083, 1630, 4527, 386, 4411,
                                                        7745, 863, 5457, 6145, 6288, 4980, 2590, 289, 2653,
                                                        1474, 6472, 2438, 6456, 737, 6113, 4956, 3365, 5075,
                                                        6878, 538, 3614
                                                    },
                                                    new[]
                                                    {
                                                        2578, 7086, 1494, 617, 4830, 5904, 2497, 1371, 5898,
                                                        1921, 6519, 2886, 1312, 6940, 1777, 5926, 1137,
                                                        3840, 2618, 7441, 4704, 1935, 3835, 3501, 1222,
                                                        7846, 5672, 6226, 6353, 5673, 3830, 7606, 2055,
                                                        6594, 1118, 6905, 297, 5056, 4745, 1147, 3284, 3460,
                                                        2335, 6516, 5081, 5285, 3347, 3532, 4602, 2814,
                                                        5940, 4723, 7389, 7815, 4516, 3972, 1017, 2214,
                                                        2670, 3884, 7193, 3964, 2026, 5643, 822, 3226, 6661,
                                                        1266, 6039, 6118, 4843, 6156, 6724, 1323, 1754,
                                                        2492, 4270, 4141, 1091, 3129, 7728, 3899, 2030,
                                                        1085, 3988, 3688, 4450, 1368, 1752, 1657, 3596,
                                                        4691, 652, 3555, 1673, 1997, 7095, 3918, 1446, 6741,
                                                        210, 462, 1426, 2278, 6974, 2433, 6997, 5949, 8182,
                                                        8048, 568, 2245, 2756, 5454, 3754, 7922, 3578, 5899,
                                                        6778, 6570, 7845, 468, 1660, 7781, 76, 7726, 463,
                                                        5040, 8063, 1906, 6369, 1290, 705, 6610, 631, 3450,
                                                        6200, 6204, 1184, 896, 3097, 6137, 4973, 3545, 662,
                                                        871, 6221, 3007, 3107, 771, 4881, 3475, 1412, 245,
                                                        7458, 3897, 6553, 6994, 2487, 904, 5335, 4272, 3482,
                                                        4482, 4210, 6967, 7367, 4082, 7159, 2898, 7767,
                                                        6191, 4582, 7379, 7758, 1785, 6284, 7505, 784, 5163,
                                                        5869, 4990, 5403, 1656, 7001, 1072, 1504, 6825,
                                                        2783, 3772, 7578, 5883, 716, 2089, 3213, 6410, 4862,
                                                        1607, 6404, 5183, 5135, 1731, 4173, 3229, 6522,
                                                        4622, 2394, 1885, 1560, 4927, 3956, 7569, 757, 7236,
                                                        2186, 2416, 914, 7071, 7694, 5206, 6839, 4175, 973,
                                                        3468, 4819, 5862, 3497, 5339, 5928, 3298, 6983,
                                                        5565, 3526, 3947, 203, 2896, 5959, 7932, 2901, 7527,
                                                        16, 2628, 4921, 7866, 1358, 6688, 1888, 5982, 5759,
                                                        1081, 6243, 81, 7471, 6396, 2230
                                                    },
                                                    new[]
                                                    {
                                                        7136, 1070, 3645, 3546, 8078, 1679, 2681, 5248,
                                                        1642, 4075, 7326, 1884, 1757, 693, 2502, 2505, 1345,
                                                        8189, 5315, 7034, 4659, 1419, 4927, 1641, 5643,
                                                        6816, 5192, 4616, 1224, 5360, 6565, 691, 2291, 6832,
                                                        7639, 6398, 981, 789, 3281, 1210, 582, 7959, 2362,
                                                        1067, 6058, 5976, 7897, 4623, 515, 677, 6226, 5340,
                                                        1950, 2656, 5097, 5589, 1632, 4461, 5544, 5096,
                                                        7624, 4829, 1106, 1410, 3452, 6434, 4635, 3464,
                                                        4104, 583, 355, 1681, 1692, 6610, 5854, 5681, 3006,
                                                        105, 24, 4918, 1237, 2020, 7257, 4500, 3388, 4212,
                                                        2917, 4368, 3284, 7084, 7312, 5931, 3649, 5551,
                                                        7025, 463, 2836, 499, 6131, 7903, 1555, 738, 7055,
                                                        2810, 4800, 7601, 289, 4517, 6069, 6029, 6081, 4617,
                                                        3158, 5688, 1694, 1776, 6090, 3271, 5137, 2992,
                                                        4780, 1569, 8151, 4979, 4868, 201, 5391, 5117, 6512,
                                                        5610, 419, 2221, 2133, 2580, 3541, 7366, 5394, 4955,
                                                        1023, 3508, 5251, 1440, 2576, 6021, 6359, 3863,
                                                        1831, 117, 253, 7923, 7840, 180, 2549, 4257, 3340,
                                                        6278, 5416, 5158, 6447, 3769, 5068, 5025, 7862,
                                                        3657, 423, 8091, 1136, 980, 5470, 2636, 2352, 2563,
                                                        1563, 3506, 6382, 1680, 745, 6580, 352, 1483, 723,
                                                        7015, 7882, 6667, 6383, 569, 4262, 1290, 3617, 4758,
                                                        4529, 3194, 6377, 7809, 7696, 2060, 5727, 2596, 247,
                                                        6309, 7747, 4556, 258, 4170, 5929, 7277, 6136, 4912,
                                                        2833, 8060, 1682, 7139, 4700, 6911, 6530, 6436,
                                                        2028, 1252, 4172, 1309, 3930, 5597, 2105, 8120,
                                                        1072, 2085, 692, 1348, 3616, 7361, 1344, 3987, 3654,
                                                        3441, 4849, 6368, 6589, 8166, 4737, 3983, 3171, 303,
                                                        1007, 3941, 1790, 2837, 5814, 1784, 603, 2826, 368,
                                                        2196, 6635, 5941, 5535
                                                    },
                                                    new[]
                                                    {
                                                        3950, 1935, 2658, 8035, 367, 7017, 2188, 5491, 3922,
                                                        3156, 4195, 4327, 307, 4627, 272, 1846, 3056, 3118,
                                                        917, 677, 6971, 6174, 7963, 2349, 350, 5082, 424,
                                                        2703, 1007, 2238, 3471, 2775, 1680, 6327, 5251, 598,
                                                        6371, 2230, 227, 7293, 7916, 1273, 4650, 5473, 5760,
                                                        471, 5142, 6263, 7674, 1072, 845, 2715, 7132, 4559,
                                                        1748, 2929, 4450, 5891, 1194, 7192, 8162, 6029,
                                                        4356, 4036, 6303, 7869, 692, 2283, 7088, 6716, 3203,
                                                        6898, 7416, 6522, 7828, 3978, 4211, 972, 4309, 5425,
                                                        4333, 457, 2674, 2712, 5484, 1035, 7945, 3667, 3055,
                                                        7641, 669, 4925, 2148, 1153, 5577, 5116, 5158, 3872,
                                                        7297, 4294, 7498, 1898, 3558, 5575, 8147, 3077,
                                                        1469, 7946, 2636, 2087, 4617, 111, 6785, 3745, 2601,
                                                        2695, 4774, 4889, 5643, 4257, 6805, 6420, 6378,
                                                        2455, 4387, 2321, 3479, 4859, 359, 7652, 7808, 7289,
                                                        1317, 6335, 6953, 1029, 3974, 3284, 1000, 6032,
                                                        4411, 2850, 2252, 6364, 372, 2745, 6259, 7863, 1064,
                                                        5694, 4352, 7931, 1560, 5126, 5299, 1496, 2782,
                                                        6224, 3957, 355, 2557, 2436, 6403, 3172, 4621, 5722,
                                                        1747, 6614, 4331, 8123, 2989, 4246, 3873, 110, 6511,
                                                        3491, 6120, 7363, 2904, 5632, 1466, 2083, 8105,
                                                        4365, 5552, 1986, 2295, 1792, 1015, 5574, 1027,
                                                        5825, 2056, 8191, 3723, 6328, 1660, 5258, 125, 6289,
                                                        4704, 2490, 4030, 5799, 6254, 3869, 1579, 758, 1125,
                                                        7127, 2189, 7483, 2351, 2599, 7595, 314, 4144, 3870,
                                                        4138, 560, 4516, 4293, 4839, 4944, 4555, 251, 4053,
                                                        3604, 7109, 7658, 6980, 4161, 7891, 1548, 791, 1189,
                                                        1630, 7063, 8080, 8059, 3652, 2634, 143, 3503, 5164,
                                                        4416, 7458, 3498, 4697, 951, 5462, 2683, 2809, 1983,
                                                        5702
                                                    },
                                                    new[]
                                                    {
                                                        6290, 4972, 2455, 2655, 279, 7463, 7718, 5379, 5284,
                                                        444, 7976, 7573, 6811, 2071, 5576, 7181, 6009, 8056,
                                                        5812, 7509, 185, 1246, 7111, 3134, 1060, 4721, 7675,
                                                        7900, 6036, 2688, 7212, 2742, 7745, 4115, 2815,
                                                        2443, 3973, 495, 4384, 7485, 1531, 7613, 2144, 4332,
                                                        4088, 3010, 1618, 3786, 1132, 7816, 561, 1848, 7880,
                                                        2845, 124, 4588, 3172, 4398, 1473, 6666, 4309, 5227,
                                                        2725, 4050, 2524, 3971, 7073, 544, 1199, 2340, 4510,
                                                        5172, 2314, 4285, 347, 7029, 2820, 6305, 3670, 6614,
                                                        4712, 3862, 7157, 5710, 7714, 486, 1408, 649, 7350,
                                                        5769, 3285, 4149, 1773, 5057, 4863, 2015, 6654,
                                                        2813, 7606, 493, 6655, 1430, 8086, 2437, 3772, 5828,
                                                        2024, 689, 2432, 164, 1513, 6345, 1525, 3612, 5179,
                                                        5960, 6725, 2538, 2420, 4066, 3246, 2002, 6839,
                                                        2338, 3129, 5729, 4326, 2376, 7742, 1002, 3098,
                                                        5327, 4232, 6848, 441, 804, 4724, 5918, 6820, 6467,
                                                        7083, 1512, 3521, 1429, 1293, 2641, 3053, 2898,
                                                        5775, 1454, 1817, 4358, 5629, 7210, 7938, 6961,
                                                        1942, 6302, 2887, 1713, 5046, 6501, 7129, 7878,
                                                        3784, 2313, 2138, 3204, 5455, 6160, 3097, 4955,
                                                        6381, 3578, 2253, 7654, 1229, 2575, 5187, 3536,
                                                        1425, 5247, 3965, 7762, 5308, 6561, 2543, 2481,
                                                        3910, 4941, 3377, 5414, 4305, 161, 2211, 2857, 3797,
                                                        5469, 7865, 3413, 5816, 4616, 3608, 3958, 2265, 610,
                                                        4841, 4719, 100, 7072, 3002, 2946, 1139, 6235, 8178,
                                                        1045, 3509, 7870, 4713, 2905, 5657, 7375, 7030,
                                                        7599, 5986, 1258, 1935, 2769, 7893, 5415, 7178,
                                                        1722, 3502, 883, 3887, 8035, 7006, 4995, 5122, 6112,
                                                        5434, 7845, 253, 2341, 5229, 5550, 5162, 1247, 4895,
                                                        2777, 2976, 5650, 7133, 6410, 1174
                                                    },
                                                    new[]
                                                    {
                                                        3229, 6282, 6709, 3936, 2192, 2691, 4950, 5709,
                                                        1648, 5849, 3039, 4571, 2372, 3284, 4983, 7925,
                                                        4382, 3607, 1551, 6406, 4794, 5889, 7642, 7452,
                                                        5142, 4562, 740, 339, 5037, 7911, 516, 4071, 3328,
                                                        1458, 419, 2309, 1285, 8053, 6491, 5496, 3490, 835,
                                                        4483, 7855, 1919, 6145, 5418, 6003, 7302, 7271,
                                                        6175, 1640, 3721, 326, 6684, 871, 7530, 63, 5279,
                                                        717, 4012, 2398, 7123, 6955, 2801, 5220, 4489, 5106,
                                                        2922, 2112, 7984, 3970, 2593, 5268, 5837, 295, 724,
                                                        6542, 3046, 2824, 5527, 3248, 8122, 4411, 3840,
                                                        7098, 1474, 4883, 2594, 668, 3076, 5762, 6995, 1220,
                                                        3028, 4324, 6836, 5972, 147, 3367, 2446, 1109, 5847,
                                                        2333, 2551, 2937, 441, 1208, 7987, 2973, 4534, 6451,
                                                        2618, 1256, 575, 7163, 6242, 1709, 6317, 5656, 4205,
                                                        3489, 4120, 760, 3195, 3711, 2490, 3629, 5394, 457,
                                                        990, 76, 2103, 6717, 3356, 7062, 4208, 4466, 3552,
                                                        3143, 3830, 7646, 7014, 7315, 6072, 3775, 1443,
                                                        3665, 3644, 4459, 8006, 5069, 538, 4826, 7424, 5930,
                                                        2055, 3812, 6876, 7109, 4512, 1518, 1270, 164, 7895,
                                                        1888, 2716, 3160, 4386, 5550, 6292, 1478, 1841, 265,
                                                        6052, 6641, 3550, 5191, 5009, 4870, 6892, 2864,
                                                        1540, 1241, 4693, 1052, 805, 3398, 64, 6269, 2157,
                                                        8009, 3449, 7657, 3161, 6178, 7174, 2545, 4425,
                                                        4200, 4464, 1323, 3243, 4536, 1138, 5061, 1078,
                                                        7897, 2291, 7893, 211, 4454, 2090, 8158, 771, 1635,
                                                        1668, 1567, 2391, 5460, 36, 6229, 3593, 2098, 7086,
                                                        3994, 5699, 4778, 277, 4884, 4394, 3788, 7203, 6841,
                                                        5245, 7941, 5304, 3457, 5164, 5677, 2853, 763, 2168,
                                                        5751, 3483, 473, 5990, 5182, 2863, 4634, 707, 6660,
                                                        1950, 597, 3659
                                                    },
                                                    new[]
                                                    {
                                                        4868, 424, 5371, 4209, 1376, 221, 1188, 7198, 5588,
                                                        107, 7210, 4926, 5025, 8092, 6719, 795, 3246, 2440,
                                                        3721, 5385, 5708, 6652, 6923, 7561, 6344, 415, 386,
                                                        4407, 6844, 5341, 7109, 3690, 2398, 326, 598, 3509,
                                                        7353, 1595, 5108, 3771, 6854, 4269, 4368, 739, 3109,
                                                        7383, 3123, 2349, 5581, 1849, 6717, 5551, 1872,
                                                        3654, 3614, 4313, 5825, 6670, 1171, 236, 7980, 7772,
                                                        3684, 2730, 6158, 3089, 8, 4535, 2535, 2949, 4931,
                                                        5053, 5981, 1423, 3673, 6882, 2725, 4559, 7632,
                                                        3890, 1090, 4336, 2472, 2247, 7060, 8174, 2306,
                                                        8083, 4110, 1701, 1281, 5742, 7465, 4932, 4712,
                                                        3021, 3587, 3796, 1912, 4852, 6304, 3935, 478, 4164,
                                                        4242, 2204, 4321, 6408, 3702, 2711, 1856, 583, 4641,
                                                        2798, 3581, 1275, 729, 6389, 4125, 578, 6095, 33,
                                                        7406, 7154, 7904, 8104, 5762, 53, 1606, 5395, 599,
                                                        3747, 6345, 28, 4124, 3820, 794, 1777, 7359, 7039,
                                                        1276, 703, 6394, 168, 1055, 3887, 7949, 3047, 7743,
                                                        7739, 2210, 2688, 3742, 7369, 5627, 368, 6197, 3948,
                                                        1793, 4869, 2459, 3629, 5796, 5829, 3675, 4120,
                                                        7606, 3500, 4780, 4262, 7156, 3157, 7977, 1388, 546,
                                                        6271, 7895, 5252, 7538, 77, 3731, 290, 4823, 7830,
                                                        4773, 2728, 2933, 6068, 1079, 997, 5315, 5324, 4298,
                                                        2422, 1624, 1362, 3041, 2075, 907, 6460, 668, 5445,
                                                        4241, 317, 7546, 6258, 140, 7405, 7268, 5258, 2430,
                                                        3572, 945, 4084, 4478, 3279, 7261, 1080, 7522, 2213,
                                                        1468, 3472, 1718, 3988, 7897, 1966, 2492, 5867, 738,
                                                        463, 6102, 5603, 499, 5823, 970, 4408, 6074, 2737,
                                                        3434, 4415, 2214, 407, 3268, 916, 5307, 3644, 6021,
                                                        3128, 5087, 3383, 5557, 5941, 2224, 431, 5161
                                                    },
                                                    new[]
                                                    {
                                                        1616, 3167, 6178, 77, 1076, 4217, 5371, 2724, 1854,
                                                        6777, 3547, 3420, 3073, 3406, 4641, 3378, 7685, 872,
                                                        1834, 1394, 305, 2715, 8009, 6560, 3304, 7305, 6787,
                                                        2416, 2016, 316, 374, 1556, 8120, 725, 4470, 5004,
                                                        4860, 1332, 6641, 2204, 1743, 5681, 7848, 3236,
                                                        7779, 6979, 2130, 5161, 5770, 247, 3983, 873, 3014,
                                                        2943, 5227, 5917, 3579, 3459, 7780, 2010, 1306,
                                                        7483, 6605, 2670, 6338, 6646, 6350, 6577, 546, 4871,
                                                        4336, 4615, 3146, 530, 2593, 1164, 6496, 63, 3335,
                                                        4463, 6997, 5703, 1448, 5910, 1767, 7553, 3885,
                                                        8106, 7762, 7152, 3399, 5309, 4751, 7075, 354, 7657,
                                                        5921, 2694, 4462, 6538, 3642, 4448, 815, 2376, 6491,
                                                        560, 2145, 1457, 7793, 7528, 3005, 2108, 6915, 7081,
                                                        457, 3343, 2680, 1477, 963, 451, 7292, 4208, 6455,
                                                        3106, 263, 5303, 6260, 5930, 6529, 2542, 879, 5224,
                                                        7830, 2782, 7113, 3367, 1605, 2921, 4664, 6364,
                                                        6916, 4089, 3507, 1766, 4958, 1699, 2441, 4847,
                                                        3398, 4291, 2319, 1761, 4955, 807, 2549, 7400, 6112,
                                                        4534, 1887, 21, 1947, 7030, 2966, 3065, 5478, 6096,
                                                        2047, 1886, 7128, 3243, 4075, 7476, 154, 5989, 1645,
                                                        4940, 4831, 4154, 7433, 5745, 1183, 1902, 5835,
                                                        6431, 3293, 3979, 4063, 235, 7767, 5640, 552, 6592,
                                                        4690, 5074, 85, 201, 2034, 65, 355, 5174, 5959,
                                                        5905, 4941, 5446, 5907, 1577, 7281, 4513, 6413,
                                                        4278, 889, 5352, 5159, 4409, 903, 1413, 4562, 5204,
                                                        1482, 3873, 4686, 7920, 3812, 6744, 1864, 4392, 785,
                                                        958, 4251, 3784, 3525, 7747, 2880, 7764, 3112, 1498,
                                                        4868, 5731, 5807, 5605, 5200, 2207, 4402, 3993,
                                                        4417, 6522, 1386, 666, 4029, 3263, 3052, 1331, 4264,
                                                        2508, 3534
                                                    },
                                                    new[]
                                                    {
                                                        5334, 4849, 7921, 6585, 7629, 1390, 923, 245, 2842,
                                                        3642, 4365, 1466, 4658, 766, 784, 5694, 2804, 4361,
                                                        3979, 4033, 1098, 1683, 7041, 7040, 2827, 1554,
                                                        4718, 6673, 8114, 2353, 2699, 5140, 2614, 6216,
                                                        2900, 6341, 915, 4706, 3527, 7836, 3982, 1824, 2840,
                                                        2653, 6427, 3211, 1421, 778, 1201, 2636, 4255, 7987,
                                                        3451, 1340, 2399, 2401, 2634, 4221, 4845, 3206,
                                                        1535, 2063, 6901, 7594, 7839, 3717, 4366, 3552,
                                                        7379, 3904, 1361, 4573, 5568, 4172, 7368, 7630,
                                                        1182, 2322, 235, 857, 6314, 5050, 4213, 6311, 5270,
                                                        7575, 4554, 6666, 7017, 5024, 1253, 3155, 8035,
                                                        4312, 5584, 1692, 3618, 4937, 4623, 8079, 2227,
                                                        1708, 6560, 3541, 752, 4164, 7795, 6225, 2656, 1242,
                                                        4641, 1327, 1746, 2651, 6876, 2810, 7263, 3352,
                                                        2977, 6089, 7665, 1153, 6985, 5849, 4427, 373, 1074,
                                                        6779, 7596, 3739, 293, 7501, 5773, 3498, 5846, 1282,
                                                        2817, 5271, 6259, 2342, 520, 3236, 4577, 485, 4756,
                                                        7682, 6045, 6954, 2196, 3654, 6239, 618, 3534, 6391,
                                                        2451, 2694, 3857, 6880, 1124, 5657, 2495, 5898,
                                                        8189, 7409, 3599, 8175, 536, 7945, 6907, 2019, 619,
                                                        6445, 5979, 1762, 462, 2843, 5153, 1534, 7906, 7296,
                                                        6492, 5949, 3524, 546, 4599, 8103, 225, 5623, 7949,
                                                        5081, 1055, 6219, 1615, 7881, 4598, 2175, 4512,
                                                        7738, 7889, 4942, 3721, 2440, 4517, 5939, 710, 7670,
                                                        1403, 3222, 838, 7524, 4607, 2474, 6534, 3359, 8075,
                                                        1454, 2710, 2016, 5247, 3142, 5994, 220, 4126, 276,
                                                        5467, 3484, 7530, 6668, 4602, 3385, 951, 6241, 3128,
                                                        5010, 896, 6222, 4307, 6701, 5867, 4431, 5105, 1251,
                                                        2240, 289, 5785, 5919, 1188, 1418, 2378, 3548, 3474,
                                                        3579, 423, 986, 7621
                                                    },
                                                    new[]
                                                    {
                                                        1016, 3889, 4357, 4678, 4913, 4113, 4576, 1430,
                                                        1214, 3535, 1648, 2990, 2417, 4012, 2885, 5473,
                                                        4135, 5093, 4109, 5358, 4327, 795, 5334, 7237, 791,
                                                        2717, 4830, 4112, 2068, 932, 8065, 4247, 903, 1677,
                                                        7679, 2231, 646, 2827, 8027, 3851, 5872, 7894, 4613,
                                                        4028, 3296, 6977, 5030, 3730, 7762, 4105, 2713, 494,
                                                        3222, 3231, 7583, 7585, 6219, 3394, 6077, 7003,
                                                        5544, 2487, 1096, 2648, 2745, 5988, 6627, 7020,
                                                        4372, 1083, 5371, 7861, 6696, 7699, 6420, 1840,
                                                        3642, 1809, 1689, 3978, 4979, 2560, 323, 5247, 5918,
                                                        6412, 3303, 2633, 8019, 8170, 7559, 4279, 459, 5718,
                                                        1539, 4689, 5749, 4832, 6884, 949, 3610, 3493, 508,
                                                        7113, 1568, 122, 1617, 6371, 7880, 3364, 4797, 5553,
                                                        2709, 5269, 6277, 2485, 3699, 1008, 1727, 756, 4143,
                                                        7676, 5867, 5841, 4941, 5944, 2497, 6697, 4927,
                                                        4910, 6178, 1748, 1361, 255, 434, 6748, 1140, 3014,
                                                        7829, 680, 6110, 330, 1942, 3301, 4827, 3930, 7067,
                                                        5296, 5878, 4820, 6308, 4080, 426, 5387, 3032, 3783,
                                                        5355, 1250, 5528, 5674, 3828, 775, 3279, 5978, 3112,
                                                        1505, 3759, 3453, 6608, 6601, 536, 3208, 5108, 1428,
                                                        6709, 1054, 2785, 6040, 6330, 5128, 1311, 2636, 521,
                                                        7793, 2839, 4554, 43, 4265, 7316, 4161, 6148, 1136,
                                                        82, 1183, 1974, 6060, 1583, 2158, 3813, 6714, 1104,
                                                        7918, 4014, 1845, 7060, 5092, 4591, 1900, 5676,
                                                        3090, 7489, 1243, 6394, 3680, 4154, 1835, 3441,
                                                        6548, 2958, 4958, 5639, 6107, 3720, 6138, 6233,
                                                        2082, 8139, 842, 5077, 1018, 1457, 231, 8030, 442,
                                                        6038, 4894, 174, 4962, 2243, 3185, 5272, 561, 6010,
                                                        6508, 1626, 3146, 7613, 583, 2861, 2363, 963, 216,
                                                        3695, 5979, 710
                                                    },
                                                    new[]
                                                    {
                                                        722, 3672, 5891, 2630, 2933, 6817, 2564, 2066, 309,
                                                        6514, 7011, 1618, 3745, 1888, 787, 6328, 5460, 2454,
                                                        3683, 1708, 2195, 967, 7294, 5575, 5762, 141, 4327,
                                                        7957, 3156, 3981, 5594, 5660, 1149, 1473, 3149,
                                                        6824, 643, 4132, 4502, 4900, 4414, 7892, 874, 5349,
                                                        3121, 1270, 3922, 7634, 2596, 2924, 6250, 673, 3489,
                                                        3430, 5547, 1785, 1384, 3373, 7162, 272, 6602, 1244,
                                                        3426, 3569, 4922, 7931, 2171, 6071, 1064, 2643, 488,
                                                        4491, 621, 7841, 7327, 7448, 3894, 7150, 8191, 7108,
                                                        1272, 675, 530, 3293, 4042, 5789, 5837, 6213, 4740,
                                                        2039, 746, 7028, 7825, 7865, 2423, 397, 1441, 1363,
                                                        1209, 1365, 6896, 4941, 5403, 5253, 626, 3811, 1422,
                                                        139, 6864, 5322, 2265, 4651, 5283, 5478, 4425, 3815,
                                                        1677, 6086, 2623, 2341, 2842, 6919, 1120, 7952, 298,
                                                        2219, 3746, 1305, 6022, 1408, 1341, 5408, 3593,
                                                        1437, 7598, 5441, 7606, 573, 2595, 2810, 5554, 6336,
                                                        4006, 3619, 7213, 7638, 3506, 2147, 7167, 1343, 860,
                                                        4699, 7340, 7866, 5921, 4107, 4671, 2107, 4377,
                                                        6105, 189, 644, 1715, 4434, 6932, 3175, 7988, 714,
                                                        7273, 144, 2278, 2864, 7724, 4084, 5603, 5191, 579,
                                                        3776, 3946, 6173, 154, 1173, 5967, 2128, 3163, 86,
                                                        7999, 2570, 726, 6908, 6368, 3161, 275, 4334, 5213,
                                                        7227, 4848, 6165, 6267, 6624, 5052, 931, 5152, 2756,
                                                        7255, 2121, 6464, 8107, 4010, 3294, 1916, 7554,
                                                        1275, 5876, 348, 2626, 6581, 4840, 6348, 95, 910,
                                                        1630, 7549, 4649, 1537, 3033, 368, 6815, 533, 7444,
                                                        522, 6741, 600, 7434, 2716, 1752, 2399, 1773, 4852,
                                                        5898, 7335, 3445, 5989, 3784, 1674, 1811, 2607,
                                                        2803, 1087, 6434, 489, 6573, 1619, 2945, 1812
                                                    },
                                                    new[]
                                                    {
                                                        1807, 5692, 52, 7055, 5844, 782, 2978, 475, 4048,
                                                        3641, 852, 5183, 2423, 3627, 1499, 6475, 5173, 5088,
                                                        1166, 2059, 4387, 7496, 840, 6430, 3035, 8031, 8159,
                                                        5144, 1830, 7299, 693, 2662, 4291, 2050, 501, 1802,
                                                        7354, 6021, 3005, 4741, 2486, 6726, 4195, 3042,
                                                        3421, 2383, 7597, 34, 7305, 1709, 1679, 2930, 1747,
                                                        7412, 6514, 7924, 3519, 3945, 7389, 4729, 570, 5351,
                                                        6134, 1349, 1280, 1250, 4262, 3520, 5185, 2807,
                                                        3555, 4977, 7562, 600, 7445, 5240, 611, 4972, 7874,
                                                        4298, 90, 6421, 837, 3675, 7383, 1652, 5938, 3543,
                                                        5753, 2321, 6044, 6203, 3301, 2256, 5855, 770, 1671,
                                                        7263, 1024, 700, 198, 6328, 7912, 4124, 3566, 3405,
                                                        4552, 2747, 4739, 3041, 3743, 1399, 3184, 1494, 567,
                                                        7721, 3155, 7203, 1474, 5276, 1849, 1356, 3109,
                                                        1705, 5022, 5270, 3916, 5592, 1439, 7364, 7859,
                                                        2689, 7113, 2152, 6788, 7927, 3540, 6882, 2425, 197,
                                                        1966, 3037, 3228, 5702, 1559, 272, 3341, 301, 7143,
                                                        4122, 6704, 7122, 130, 2250, 6850, 3629, 185, 7429,
                                                        6178, 8091, 5470, 1473, 7474, 965, 4295, 6474, 3528,
                                                        7776, 3025, 6156, 7533, 3116, 4451, 5834, 1547,
                                                        7524, 3128, 1393, 1201, 897, 4234, 1163, 403, 3971,
                                                        990, 5259, 3415, 5325, 3793, 67, 7086, 3399, 4782,
                                                        5381, 6996, 1352, 6672, 2419, 2728, 7449, 5082,
                                                        5313, 3003, 3226, 4792, 8078, 315, 1082, 5886, 2683,
                                                        7108, 3845, 4473, 1486, 96, 405, 189, 5329, 1636,
                                                        1363, 1531, 4661, 2868, 7116, 6985, 532, 2611, 3466,
                                                        2243, 1633, 2577, 5296, 2579, 1093, 3111, 3687, 656,
                                                        7522, 3186, 1657, 5241, 2040, 4102, 3796, 8038,
                                                        5685, 8164, 3705, 3365, 3505, 2314, 4734, 2235,
                                                        2077, 2220
                                                    },
                                                    new[]
                                                    {
                                                        3999, 6977, 941, 5432, 2579, 3988, 127, 7252, 2726,
                                                        3849, 4679, 1915, 579, 4303, 4203, 3609, 5861, 3280,
                                                        6557, 3022, 7113, 6736, 6865, 6615, 3958, 1819,
                                                        1311, 6778, 6219, 3098, 4422, 3775, 6114, 8180,
                                                        5185, 1964, 7386, 3298, 3318, 6702, 982, 3519, 1724,
                                                        2571, 4014, 1783, 6772, 3425, 7586, 6640, 7315,
                                                        6998, 5590, 486, 5406, 4070, 7867, 6398, 3016, 3793,
                                                        6070, 674, 3005, 6553, 1963, 1670, 6695, 861, 2934,
                                                        5542, 8187, 7036, 226, 1209, 1013, 7583, 7297, 3688,
                                                        7965, 4188, 5770, 1334, 6221, 4765, 2933, 2392,
                                                        7701, 4700, 414, 2578, 276, 6047, 7917, 2209, 1826,
                                                        6523, 7801, 476, 4220, 3387, 1763, 3571, 7509, 799,
                                                        6954, 4443, 1322, 3617, 1015, 3379, 2156, 262, 6225,
                                                        2773, 6200, 166, 7399, 2082, 5233, 1672, 1391, 651,
                                                        6660, 1121, 1580, 7556, 5593, 7310, 4258, 4448,
                                                        6082, 1383, 6944, 5174, 4493, 6193, 5424, 7887,
                                                        1218, 2577, 925, 3676, 2256, 8080, 4145, 1286, 396,
                                                        2767, 470, 2488, 3406, 7314, 4982, 6933, 7929, 6680,
                                                        6011, 7044, 1833, 7628, 3860, 4808, 4061, 7038,
                                                        2031, 4311, 5333, 1720, 8105, 4753, 4127, 1040,
                                                        3510, 7283, 5457, 1263, 5399, 4948, 183, 3156, 4141,
                                                        3036, 1508, 2699, 5095, 1298, 8150, 6063, 3692,
                                                        3653, 4274, 6079, 6162, 6015, 2517, 3252, 5933, 930,
                                                        3682, 5280, 7687, 145, 774, 6250, 880, 7191, 2038,
                                                        110, 3350, 2267, 610, 4703, 3992, 408, 5575, 2670,
                                                        5453, 3437, 7157, 1968, 4891, 5121, 4155, 5022,
                                                        4270, 1903, 5353, 2255, 2291, 5601, 6344, 2473,
                                                        4588, 5546, 50, 6371, 1332, 5912, 6489, 7726, 4361,
                                                        5332, 3070, 4661, 1078, 4479, 2103, 136, 4980, 309,
                                                        4476, 3428, 3620, 2654, 453
                                                    },
                                                    new[]
                                                    {
                                                        7561, 1104, 3162, 6995, 6694, 1940, 6264, 270, 2197,
                                                        4548, 1004, 6215, 2160, 6364, 4189, 2856, 7390,
                                                        2143, 8019, 2748, 2443, 4202, 994, 4326, 93, 3902,
                                                        6619, 7137, 1482, 6400, 7450, 3263, 7527, 800, 4143,
                                                        1635, 4097, 2418, 4343, 180, 3804, 7242, 599, 2040,
                                                        2764, 4848, 5173, 125, 403, 4242, 6798, 4403, 6691,
                                                        1183, 3546, 890, 5276, 6043, 2452, 4872, 1019, 5554,
                                                        3923, 6105, 6085, 7193, 6044, 658, 1501, 5042, 6031,
                                                        560, 4101, 1888, 6387, 5237, 678, 7511, 4844, 4843,
                                                        4923, 4274, 120, 3408, 335, 286, 294, 6190, 1782,
                                                        7606, 7962, 398, 6184, 1706, 3667, 5139, 6258, 5428,
                                                        6008, 8103, 7269, 7143, 2625, 1318, 515, 3688, 1890,
                                                        39, 4316, 3751, 6741, 7935, 5750, 5958, 2844, 4469,
                                                        4599, 6742, 606, 4150, 6142, 901, 2606, 4397, 788,
                                                        1431, 6945, 3729, 5929, 7460, 5391, 7485, 1869,
                                                        2671, 7419, 3250, 5274, 7739, 4152, 3052, 6350,
                                                        2159, 7758, 5230, 4356, 3310, 7669, 2752, 5069,
                                                        6453, 3881, 5247, 5600, 1771, 5136, 7484, 2053,
                                                        6841, 6152, 3465, 508, 6872, 6714, 5835, 7684, 4689,
                                                        5150, 2027, 2990, 3800, 3034, 866, 2262, 703, 3239,
                                                        129, 4325, 3027, 6289, 3434, 763, 3830, 2198, 1647,
                                                        6970, 6130, 6302, 733, 6675, 6568, 4972, 1418, 4134,
                                                        3172, 732, 4012, 2079, 6435, 4815, 4473, 3258, 5539,
                                                        2585, 3185, 2425, 6536, 2905, 5522, 142, 598, 4208,
                                                        2608, 7059, 2138, 2011, 6144, 5719, 5621, 6383,
                                                        4292, 8100, 4541, 2118, 1829, 1556, 7622, 1086,
                                                        2349, 1294, 5396, 609, 5826, 4835, 258, 2574, 2034,
                                                        1441, 4671, 1180, 5818, 4646, 7398, 3943, 7355, 480,
                                                        4830, 7569, 1731, 370, 3405, 3625, 4884, 1542, 2001,
                                                        1650
                                                    },
                                                    new[]
                                                    {
                                                        2422, 1101, 7283, 4611, 442, 1465, 1343, 608, 8078,
                                                        2339, 5086, 1881, 8175, 1960, 7748, 6084, 747, 2947,
                                                        1264, 1075, 4381, 237, 2775, 4937, 4339, 446, 6778,
                                                        5580, 866, 3433, 1895, 8149, 3930, 6700, 3211, 3333,
                                                        3329, 7049, 335, 7858, 3055, 6329, 6080, 2742, 2491,
                                                        4561, 5204, 2401, 3325, 3906, 5662, 7294, 7423, 827,
                                                        2494, 109, 1543, 113, 3270, 1820, 3487, 753, 6728,
                                                        8136, 1121, 6029, 1530, 1270, 1296, 5313, 7789,
                                                        4358, 8013, 332, 3677, 2574, 1880, 367, 7034, 459,
                                                        4624, 1416, 2997, 7737, 5217, 951, 8174, 5798, 738,
                                                        1240, 6574, 2957, 7035, 3104, 489, 4556, 339, 3147,
                                                        2030, 1170, 1512, 5606, 5232, 2050, 2305, 6510,
                                                        7135, 1708, 686, 4077, 6279, 7646, 4409, 2868, 3797,
                                                        537, 6500, 5787, 2715, 1370, 3787, 3518, 6386, 6980,
                                                        7400, 3320, 733, 4073, 7764, 1564, 3043, 1942, 6899,
                                                        874, 2376, 2110, 3789, 5511, 2535, 1887, 3372, 53,
                                                        4987, 3955, 436, 6327, 5400, 473, 4614, 2950, 5977,
                                                        7951, 76, 149, 3967, 5531, 4115, 6604, 3138, 7735,
                                                        1651, 6623, 3706, 5048, 2865, 5811, 135, 4894, 5278,
                                                        227, 3727, 4198, 7199, 5632, 3129, 7331, 3032, 6497,
                                                        1814, 328, 5526, 6571, 8090, 606, 5118, 5880, 6512,
                                                        4224, 515, 5194, 4012, 5723, 2020, 5830, 3923, 3746,
                                                        4227, 7548, 3794, 2877, 1124, 7674, 7767, 3541,
                                                        2619, 666, 803, 341, 243, 6069, 2992, 5774, 3012,
                                                        7454, 985, 3596, 7756, 818, 7910, 5479, 5493, 4618,
                                                        5443, 2953, 340, 5017, 659, 577, 4672, 2834, 374,
                                                        423, 7337, 2188, 2598, 4318, 6193, 1665, 2407, 511,
                                                        5465, 971, 1457, 868, 2194, 1610, 4519, 7803, 3569,
                                                        6205, 2042, 4585, 4269, 204, 501
                                                    },
                                                    new[]
                                                    {
                                                        6926, 1677, 1484, 8174, 7184, 7282, 1949, 2728,
                                                        1277, 1464, 1647, 1600, 2019, 7025, 1791, 4009,
                                                        2411, 5328, 6877, 4566, 6250, 437, 2454, 4030, 165,
                                                        2886, 3585, 3804, 2550, 4883, 6157, 1722, 6851,
                                                        7602, 7547, 5911, 3841, 97, 5606, 3066, 5837, 7613,
                                                        3310, 523, 3161, 5635, 5480, 5293, 6363, 1533, 1417,
                                                        6196, 525, 4904, 2493, 5668, 2901, 561, 5813, 7237,
                                                        1680, 3093, 4878, 2566, 2672, 980, 2487, 2338, 3203,
                                                        1314, 246, 5987, 5761, 4544, 7477, 3001, 6845, 1005,
                                                        3482, 2449, 7799, 5329, 4858, 5033, 5273, 2315,
                                                        2727, 7028, 6958, 3456, 1475, 7919, 1224, 1214,
                                                        6668, 6653, 1158, 5185, 1985, 4602, 2056, 5816,
                                                        1177, 6292, 949, 5060, 846, 352, 1982, 2854, 1953,
                                                        4160, 374, 5741, 3388, 1557, 2347, 3271, 3286, 723,
                                                        6066, 4749, 6362, 1172, 296, 702, 7039, 2088, 4118,
                                                        3057, 1772, 6256, 5131, 2116, 8164, 7616, 3952,
                                                        4423, 6910, 3814, 5769, 7143, 5762, 1904, 7153,
                                                        7893, 6242, 7970, 98, 7257, 6340, 6291, 563, 2987,
                                                        5690, 5893, 111, 3500, 6728, 6840, 7596, 2608, 8071,
                                                        1731, 1857, 1321, 6216, 2239, 5620, 4824, 1363,
                                                        4550, 4920, 7168, 6524, 1994, 3041, 7171, 2396, 682,
                                                        4587, 3174, 6383, 2782, 1553, 3731, 4595, 7503, 359,
                                                        897, 7209, 4300, 5170, 6505, 6794, 2864, 3934, 1049,
                                                        4991, 774, 199, 83, 3923, 2285, 420, 3364, 5942,
                                                        3617, 5414, 2465, 7628, 7862, 3467, 4195, 7228,
                                                        4087, 6963, 3964, 2954, 4817, 5038, 7297, 5587,
                                                        2412, 4933, 4023, 946, 1700, 7066, 7878, 6121, 1774,
                                                        2662, 5988, 4901, 2110, 6997, 2307, 4116, 4647,
                                                        2497, 2400, 224, 3370, 2160, 145, 6270, 5336, 7270,
                                                        2067, 3970, 1914, 7079, 6924, 5808
                                                    },
                                                    new[]
                                                    {
                                                        7585, 2137, 1405, 3076, 4078, 455, 4727, 398, 8114,
                                                        4598, 2180, 3669, 2751, 1263, 2978, 220, 653, 4475,
                                                        20, 393, 182, 6453, 2068, 2108, 2697, 2380, 7797,
                                                        2687, 651, 6119, 3607, 2852, 6421, 2321, 1578, 3577,
                                                        7446, 968, 6296, 1121, 4055, 5431, 684, 389, 1397,
                                                        6648, 4094, 1979, 2333, 2514, 148, 7242, 4513, 7099,
                                                        3270, 6417, 2842, 2002, 5503, 1662, 956, 3717, 2865,
                                                        7625, 5307, 5122, 1652, 7400, 3972, 7765, 5800,
                                                        6496, 4326, 6852, 6378, 3840, 4246, 5422, 4642,
                                                        3318, 4144, 4559, 6897, 5972, 7761, 339, 6141, 3241,
                                                        3006, 7622, 270, 6493, 80, 5949, 2494, 3319, 5770,
                                                        1976, 5618, 7284, 4497, 2627, 7980, 3687, 6144,
                                                        1420, 7299, 7426, 3848, 5607, 3503, 533, 1136, 3867,
                                                        5470, 4229, 5007, 7919, 1156, 2505, 4733, 2800,
                                                        3650, 5049, 2228, 5442, 3742, 3175, 3519, 6216,
                                                        1830, 7626, 4281, 4459, 5625, 105, 995, 8104, 979,
                                                        1883, 7453, 3667, 711, 7737, 5584, 7222, 1502, 5270,
                                                        4683, 3521, 6681, 4382, 441, 6350, 2287, 4567, 5521,
                                                        6494, 5756, 4016, 6423, 1111, 1355, 4658, 3438,
                                                        2721, 3369, 643, 4423, 7021, 7530, 2273, 4062, 5443,
                                                        7412, 7611, 4690, 408, 5444, 3923, 1131, 6682, 7703,
                                                        3435, 8001, 8033, 4050, 2866, 7552, 3182, 4157,
                                                        5810, 3004, 3798, 8121, 1260, 3358, 768, 2272, 4512,
                                                        5413, 7788, 7976, 2507, 7993, 4227, 4828, 7083,
                                                        5906, 4711, 6761, 4008, 7691, 1065, 3963, 627, 1162,
                                                        500, 7905, 6883, 4597, 70, 3986, 2319, 2427, 7458,
                                                        6995, 6263, 5199, 1499, 189, 4720, 6541, 4544, 1149,
                                                        2535, 7655, 6975, 6621, 2456, 1424, 4434, 6530,
                                                        8108, 5213, 2065, 2539, 8018, 2482, 5514, 842, 1242,
                                                        3253, 5070, 2773
                                                    },
                                                    new[]
                                                    {
                                                        5697, 6773, 7355, 4477, 1282, 5925, 7424, 5472,
                                                        3827, 1355, 3531, 607, 611, 533, 4680, 3281, 3971,
                                                        1554, 6945, 5679, 3697, 5941, 604, 2516, 5976, 628,
                                                        7995, 1575, 1202, 7086, 4819, 4886, 6972, 3140,
                                                        3942, 6919, 4990, 985, 1882, 4465, 7462, 1954, 1364,
                                                        5137, 4069, 288, 397, 1801, 770, 5994, 7706, 18,
                                                        6895, 4952, 1593, 8168, 3963, 4518, 187, 3008, 8096,
                                                        6682, 4335, 3857, 5052, 19, 2802, 3256, 2772, 2765,
                                                        1241, 4117, 2282, 339, 5538, 1874, 3663, 6686, 4214,
                                                        8073, 432, 4440, 925, 7598, 643, 612, 6445, 1975,
                                                        4400, 3956, 7119, 5860, 5521, 5156, 6004, 197, 5535,
                                                        1911, 2215, 7272, 3172, 6670, 1171, 444, 3434, 6661,
                                                        1306, 3918, 4649, 4270, 6430, 4638, 6958, 1064,
                                                        6867, 2193, 6718, 2926, 4359, 1497, 6946, 3618,
                                                        1898, 7251, 6347, 5382, 4630, 5849, 115, 3257, 958,
                                                        2495, 1795, 7874, 7610, 6510, 4091, 6460, 4122,
                                                        6581, 6646, 2705, 3517, 6110, 1687, 8175, 3155,
                                                        3289, 2169, 957, 888, 591, 5515, 7161, 3290, 2367,
                                                        4185, 4003, 1264, 1698, 1320, 5107, 1182, 5915,
                                                        2373, 7046, 1837, 4532, 6833, 4037, 6953, 7735,
                                                        2953, 2366, 1676, 3381, 4011, 3904, 93, 2940, 3325,
                                                        3952, 7497, 7110, 277, 6397, 704, 1803, 5449, 5554,
                                                        3353, 5720, 47, 7822, 7486, 1622, 4031, 1515, 5323,
                                                        5453, 914, 3810, 7805, 6989, 7242, 4173, 8108, 5322,
                                                        85, 2006, 4606, 4423, 403, 3949, 4144, 7392, 2454,
                                                        5537, 6148, 5880, 1239, 2100, 3484, 4082, 898, 6111,
                                                        1299, 7790, 7754, 7659, 3591, 2171, 3527, 5078,
                                                        5609, 4225, 4251, 6470, 313, 2611, 8013, 4931, 7455,
                                                        1775, 1822, 7236, 2049, 6902, 4105, 5601, 6744,
                                                        5060, 7477, 3268, 2696
                                                    },
                                                    new[]
                                                    {
                                                        421, 6155, 8178, 6476, 5762, 789, 2283, 1453, 5408,
                                                        6753, 2402, 1694, 1185, 3919, 5755, 635, 4639, 2729,
                                                        5686, 2995, 1114, 6475, 7950, 5638, 6564, 5583,
                                                        5879, 308, 4234, 3348, 1225, 3900, 2895, 5350, 2365,
                                                        3075, 7515, 3588, 7028, 1801, 6925, 3341, 4874,
                                                        4306, 473, 4759, 5718, 6612, 6562, 2273, 2498, 4259,
                                                        1738, 3034, 2264, 584, 5105, 581, 3981, 2591, 8107,
                                                        1672, 34, 3346, 5456, 7143, 87, 7066, 5702, 4436,
                                                        5645, 3089, 5853, 5885, 7621, 3391, 8038, 2447, 186,
                                                        5358, 6523, 5631, 6194, 1710, 5100, 7979, 7735,
                                                        2253, 6139, 3111, 1337, 4103, 491, 4307, 6613, 7298,
                                                        6322, 1480, 1120, 3886, 4954, 7832, 1169, 1834,
                                                        2231, 264, 4148, 6539, 5903, 3853, 36, 5700, 5352,
                                                        2867, 5511, 2863, 6573, 5217, 1101, 4204, 699, 6487,
                                                        4881, 1162, 7203, 7783, 3869, 5606, 8054, 4024, 621,
                                                        4582, 1011, 1950, 7471, 5152, 7882, 7990, 265, 3428,
                                                        4015, 7324, 640, 2686, 6223, 4824, 3949, 395, 3952,
                                                        5704, 3684, 6989, 2501, 5502, 4593, 7529, 71, 866,
                                                        45, 2449, 555, 2822, 6528, 7627, 15, 1769, 5158,
                                                        2660, 1584, 7076, 1152, 5229, 4424, 3036, 5651,
                                                        7503, 4650, 7430, 6241, 3293, 6185, 2793, 2642,
                                                        1399, 2816, 437, 1276, 1133, 985, 7445, 1039, 5878,
                                                        600, 3035, 3839, 6621, 3175, 2570, 7343, 4714, 530,
                                                        728, 1077, 1639, 7249, 6222, 2571, 3329, 2023, 1614,
                                                        831, 1873, 7308, 4739, 6305, 7670, 3023, 3039, 1351,
                                                        5749, 4595, 3933, 8049, 5195, 1278, 4640, 5905,
                                                        6689, 1977, 7606, 5564, 806, 1620, 2511, 3826, 7820,
                                                        1536, 1864, 1374, 5298, 4369, 2700, 4820, 3807,
                                                        6661, 192, 3317, 2458, 7872, 5519, 7624, 1325, 3771,
                                                        4416, 3298
                                                    },
                                                    new[]
                                                    {
                                                        5096, 6573, 7123, 3874, 3241, 2980, 2067, 6710,
                                                        1730, 4497, 5503, 3026, 7438, 3585, 3264, 1915,
                                                        7598, 5454, 6816, 780, 914, 1156, 3343, 859, 4296,
                                                        4254, 5196, 7638, 945, 5319, 3858, 2304, 4157, 5901,
                                                        5039, 5066, 4730, 1401, 3525, 6068, 8118, 395, 8070,
                                                        5878, 3704, 5323, 4969, 505, 6108, 2153, 5193, 7699,
                                                        3371, 4794, 6299, 6344, 2372, 4499, 6456, 5071,
                                                        3437, 1750, 5012, 1430, 3256, 2383, 792, 3747, 6806,
                                                        373, 1612, 842, 3314, 3760, 6402, 2943, 3451, 5260,
                                                        5364, 504, 8139, 6323, 4216, 3663, 3765, 2331, 1494,
                                                        5060, 6279, 1910, 8047, 3998, 5611, 2011, 4093,
                                                        1913, 4691, 890, 7346, 3807, 1214, 4247, 1631, 5362,
                                                        906, 2754, 442, 3955, 5298, 5653, 8094, 3130, 487,
                                                        3887, 2984, 568, 1013, 2944, 5391, 7303, 4076, 2354,
                                                        4534, 2588, 6668, 4204, 4637, 5531, 6869, 2804,
                                                        4673, 5466, 6715, 4797, 1379, 3768, 5924, 5980,
                                                        6059, 610, 2384, 5202, 6260, 8190, 8067, 1492, 5370,
                                                        2039, 552, 6327, 5805, 6966, 8001, 8039, 6498, 5815,
                                                        3717, 6031, 6021, 1933, 4160, 242, 6951, 3399, 7657,
                                                        1782, 8109, 5399, 8149, 2043, 5825, 3290, 943, 4244,
                                                        4792, 335, 3115, 1687, 2208, 7715, 6953, 7722, 7693,
                                                        1055, 4068, 1129, 8111, 5021, 8020, 2234, 1420,
                                                        4618, 576, 6296, 4176, 479, 5126, 4465, 3895, 1322,
                                                        2509, 2451, 2686, 6195, 4972, 6775, 3978, 7500,
                                                        2294, 1538, 6212, 4992, 6420, 156, 2119, 3720, 7907,
                                                        2861, 1740, 1471, 3088, 4681, 6865, 5374, 811, 1321,
                                                        6484, 2751, 5722, 7461, 262, 7932, 7331, 3209, 1912,
                                                        4565, 7029, 4005, 4991, 4513, 6965, 4167, 7997,
                                                        2297, 7241, 5291, 768, 6458, 24, 7138, 775, 260,
                                                        1258, 2762, 5711
                                                    },
                                                    new[]
                                                    {
                                                        4916, 5735, 1856, 3864, 6943, 5854, 5009, 3026,
                                                        5604, 5086, 3858, 2639, 815, 6245, 55, 2380, 6492,
                                                        5029, 4306, 2275, 6260, 7507, 5484, 1800, 1999,
                                                        4963, 3937, 5367, 1452, 6200, 1514, 5108, 809, 5431,
                                                        5930, 1348, 7630, 4861, 3831, 631, 2789, 4202, 2634,
                                                        3040, 991, 4339, 5105, 4555, 507, 3309, 2160, 5292,
                                                        7963, 743, 1791, 2506, 6059, 7212, 3244, 7826, 460,
                                                        745, 28, 4620, 2231, 2311, 7273, 2598, 1466, 6133,
                                                        6713, 1228, 3130, 5417, 7654, 5171, 1489, 7674,
                                                        5195, 2040, 3387, 5243, 5444, 3205, 4168, 8064,
                                                        7112, 1747, 5056, 6203, 468, 8154, 608, 4330, 4419,
                                                        5661, 777, 4827, 7335, 3298, 4560, 5311, 1933, 4399,
                                                        2734, 1739, 7872, 4091, 7812, 2009, 7664, 3659,
                                                        6441, 1158, 653, 6869, 2015, 7845, 982, 8035, 5946,
                                                        5063, 4138, 4276, 7791, 6899, 2113, 620, 4983, 1937,
                                                        2617, 2031, 5977, 2709, 7656, 1320, 4679, 301, 4582,
                                                        3346, 6173, 3523, 7960, 1574, 7683, 6428, 4152,
                                                        7177, 37, 7270, 212, 1050, 738, 2359, 6465, 7935,
                                                        2095, 2468, 5358, 2503, 4760, 4687, 3435, 1746,
                                                        5106, 2575, 7345, 1076, 3404, 2830, 3655, 7093,
                                                        2039, 7886, 1412, 3090, 2407, 5598, 1929, 2312,
                                                        3135, 5753, 6227, 5369, 7358, 3685, 5835, 6142,
                                                        4043, 7053, 1603, 3871, 932, 3822, 309, 4568, 1520,
                                                        4501, 366, 10, 313, 6646, 82, 1585, 861, 4929, 3396,
                                                        1354, 7519, 6183, 2543, 7149, 5708, 1240, 6085,
                                                        5822, 3899, 2917, 1831, 3852, 4614, 2520, 2746,
                                                        7525, 4340, 1051, 3483, 3854, 1132, 6209, 2180,
                                                        5727, 6806, 7829, 547, 1110, 104, 3063, 4248, 4992,
                                                        6100, 4322, 6367, 6028, 5962, 4112, 5555, 1314,
                                                        7856, 561, 5128, 8132, 1451, 2974, 7556
                                                    },
                                                    new[]
                                                    {
                                                        5691, 8134, 4212, 7055, 5618, 230, 3045, 5975, 2504,
                                                        6152, 1479, 3259, 5127, 7698, 1007, 3953, 3580,
                                                        3070, 4480, 2012, 4440, 3458, 7881, 5816, 3043,
                                                        7622, 421, 8183, 3541, 159, 5902, 4976, 7221, 4928,
                                                        6556, 7812, 1436, 877, 6892, 3437, 4589, 5089, 3242,
                                                        5428, 3657, 5939, 3378, 8058, 2148, 4231, 2746,
                                                        4331, 6127, 6262, 2002, 820, 4452, 5793, 3083, 217,
                                                        7226, 1393, 4458, 4601, 362, 7457, 1306, 4223, 7992,
                                                        5214, 4421, 3535, 6689, 4021, 3699, 3929, 7203,
                                                        8100, 3826, 4449, 1415, 1053, 4102, 1841, 3285,
                                                        7922, 2810, 1336, 70, 371, 2070, 5211, 6553, 2576,
                                                        3815, 5273, 2132, 7321, 466, 4194, 4974, 4145, 1950,
                                                        5062, 2605, 6598, 7703, 4847, 2478, 3094, 2885,
                                                        4951, 4196, 5120, 1287, 6238, 5483, 2653, 7173,
                                                        4370, 3361, 5517, 6959, 3356, 5244, 1619, 3655,
                                                        4921, 5629, 3468, 3796, 7426, 1889, 5227, 2310,
                                                        5524, 986, 1354, 2203, 3470, 7192, 3574, 4984, 904,
                                                        6041, 797, 650, 3754, 6350, 568, 4264, 4318, 7766,
                                                        6102, 6095, 2763, 5921, 680, 767, 66, 4398, 1568,
                                                        6057, 550, 1223, 502, 1311, 7170, 2312, 2959, 4141,
                                                        7084, 7632, 5393, 4966, 7252, 3153, 5846, 2021,
                                                        7285, 6124, 8091, 2344, 3023, 1547, 2717, 5025,
                                                        4995, 367, 988, 5969, 1759, 5870, 3122, 3622, 3612,
                                                        1146, 4701, 5171, 7204, 5547, 5808, 2932, 1002,
                                                        7886, 3133, 7333, 4713, 6758, 62, 7247, 2946, 2871,
                                                        4373, 3531, 7205, 2918, 5142, 6938, 5555, 4131, 29,
                                                        7435, 229, 4653, 5849, 7368, 3812, 2090, 5751, 1,
                                                        5375, 4255, 4387, 666, 3965, 1361, 6748, 2484, 2393,
                                                        2890, 2288, 1266, 81, 1769, 7355, 3684, 5051, 7746,
                                                        1899, 6702, 4048, 2935, 492, 51
                                                    },
                                                    new[]
                                                    {
                                                        5919, 1636, 658, 5235, 126, 1612, 3939, 7594, 3306,
                                                        6314, 3826, 6015, 2501, 6742, 8181, 489, 7139, 2126,
                                                        998, 7048, 1077, 3417, 7609, 310, 6341, 6826, 4391,
                                                        3940, 6794, 6837, 3974, 1475, 3685, 2027, 3702,
                                                        2423, 3535, 5099, 2237, 2425, 2195, 7764, 3448,
                                                        6681, 6873, 7378, 8042, 492, 3115, 4489, 3322, 46,
                                                        8062, 564, 1238, 4576, 3674, 2514, 1151, 3512, 6684,
                                                        1856, 3573, 3112, 3007, 5276, 277, 1421, 6895, 7603,
                                                        3453, 2989, 711, 5279, 1874, 1884, 6595, 6440, 6869,
                                                        3515, 6723, 7018, 6257, 4577, 5212, 6326, 4353,
                                                        2049, 5154, 4552, 1352, 7860, 3029, 3757, 8, 5698,
                                                        5882, 128, 6452, 6583, 6958, 7788, 4804, 2309, 5530,
                                                        7381, 6446, 4376, 7400, 6041, 6117, 1823, 674, 6617,
                                                        121, 4074, 7342, 6651, 6323, 6046, 6861, 1674, 5880,
                                                        24, 4587, 3358, 4200, 8171, 3892, 1146, 3572, 3307,
                                                        1187, 6800, 4669, 7187, 4060, 1642, 8128, 1664,
                                                        4965, 3361, 1537, 7675, 4800, 6407, 6448, 1299,
                                                        7233, 7593, 4322, 3902, 1271, 2015, 6306, 7852,
                                                        3615, 7853, 1196, 4486, 4813, 3424, 1480, 5581,
                                                        7161, 2207, 70, 4514, 5006, 249, 6915, 2382, 2180,
                                                        6102, 324, 2848, 6434, 133, 7912, 3682, 4937, 5317,
                                                        4417, 5950, 3861, 1225, 2068, 7824, 6590, 3656,
                                                        8006, 6415, 652, 800, 3233, 7580, 1359, 3053, 4050,
                                                        251, 4317, 5648, 4699, 2446, 2226, 7093, 6986, 3338,
                                                        1109, 3062, 7347, 5503, 7190, 4214, 7059, 3965,
                                                        6346, 826, 2925, 1691, 2821, 371, 5033, 5349, 1492,
                                                        8143, 5945, 2696, 3858, 7666, 7064, 5603, 5843,
                                                        2333, 6578, 1425, 956, 5827, 5729, 4416, 2369, 4058,
                                                        5140, 7754, 6435, 6660, 7808, 1318, 3389, 6806,
                                                        2900, 4599, 7953, 4530, 1415
                                                    },
                                                    new[]
                                                    {
                                                        7804, 7314, 4698, 92, 7095, 1520, 6131, 6109, 2593,
                                                        5153, 7788, 6606, 7120, 948, 3964, 3479, 757, 6494,
                                                        8173, 6865, 7973, 7789, 4799, 4432, 954, 2203, 8171,
                                                        5217, 5816, 141, 4083, 5662, 4981, 3281, 5610, 5315,
                                                        5925, 7366, 295, 782, 636, 2057, 3744, 1298, 6563,
                                                        4308, 1263, 7169, 1567, 194, 1802, 7566, 4199, 2786,
                                                        243, 2734, 425, 4859, 772, 2560, 4573, 6124, 4532,
                                                        1822, 6626, 1424, 5955, 4626, 5539, 6813, 6391,
                                                        5056, 3418, 1155, 543, 1384, 628, 2144, 4343, 1388,
                                                        560, 6607, 5443, 3465, 2664, 1758, 1445, 1162, 3337,
                                                        741, 1901, 5891, 4579, 380, 2464, 670, 3757, 8140,
                                                        4435, 245, 5459, 6097, 7113, 6472, 3308, 5713, 220,
                                                        5910, 3234, 6021, 4597, 3958, 401, 7552, 3560, 7639,
                                                        7899, 6398, 6031, 6600, 4152, 3115, 2056, 1466, 289,
                                                        6058, 791, 5130, 4815, 5263, 2367, 2134, 4091, 5219,
                                                        4841, 789, 819, 5691, 1357, 4192, 2970, 4824, 6830,
                                                        6360, 7500, 6251, 4094, 110, 3907, 299, 2439, 5770,
                                                        2084, 7750, 7747, 5434, 849, 7304, 4681, 6672, 6502,
                                                        2871, 2286, 2879, 6455, 174, 7904, 8156, 3668, 2005,
                                                        1564, 3049, 5446, 925, 3558, 5481, 5377, 3631, 6500,
                                                        5072, 6689, 7521, 1248, 7626, 5837, 5138, 5073, 992,
                                                        4402, 7608, 5595, 4645, 2656, 2461, 5415, 2489,
                                                        4863, 4700, 6863, 4131, 7123, 4517, 5775, 5092,
                                                        5085, 1367, 6949, 622, 68, 7620, 5793, 7141, 5356,
                                                        5797, 4078, 6554, 7448, 6462, 2959, 6981, 2620,
                                                        4360, 2035, 7708, 2125, 7700, 6656, 3561, 4601,
                                                        3133, 4226, 861, 171, 3712, 99, 7640, 7105, 2835,
                                                        6168, 5140, 7426, 6946, 2255, 705, 7954, 1161, 3315,
                                                        1688, 4184, 2031, 6125, 7598, 39, 4877, 4543
                                                    },
                                                    new[]
                                                    {
                                                        4260, 6473, 8074, 4773, 379, 2433, 3806, 5803, 7967,
                                                        1279, 3329, 1211, 3965, 8082, 6311, 3770, 2947, 353,
                                                        5586, 5268, 3586, 7892, 2190, 7870, 3285, 7636,
                                                        3430, 1697, 62, 6985, 2630, 3176, 3504, 2875, 4774,
                                                        4756, 2096, 3764, 7589, 823, 7357, 5978, 3912, 2962,
                                                        1567, 3743, 4536, 6217, 6997, 5900, 2087, 5096,
                                                        2140, 1356, 7838, 7446, 5026, 6773, 5458, 6456,
                                                        4841, 4074, 1217, 2895, 4899, 539, 4179, 1214, 7653,
                                                        6307, 6239, 2243, 6360, 95, 96, 2143, 2126, 5630,
                                                        1865, 5139, 3159, 3961, 5369, 7727, 2338, 3856,
                                                        6162, 5106, 1927, 6439, 2974, 452, 6820, 3223, 3021,
                                                        4119, 1750, 2239, 7930, 5885, 5346, 2963, 1588, 38,
                                                        712, 3183, 2025, 6390, 1351, 7102, 5432, 8143, 819,
                                                        5956, 1607, 6230, 4112, 4745, 4053, 574, 6493, 6468,
                                                        5685, 6304, 5132, 4232, 1232, 7033, 5879, 4174,
                                                        4771, 6505, 1668, 5006, 6766, 2552, 2409, 6913,
                                                        6213, 3409, 5474, 2684, 2304, 3099, 4552, 3895,
                                                        6966, 7490, 3228, 1928, 4209, 3167, 1426, 4755,
                                                        6520, 4937, 3478, 1513, 5417, 4442, 6074, 7345,
                                                        7837, 3129, 1482, 3442, 1936, 2402, 1130, 1939,
                                                        3872, 2228, 2175, 7402, 7638, 1297, 1570, 296, 1237,
                                                        723, 87, 4426, 2921, 4091, 7714, 5278, 1308, 530,
                                                        608, 5727, 2826, 6237, 2390, 905, 6223, 4565, 6809,
                                                        7312, 7613, 4950, 5444, 4571, 1374, 2663, 7846,
                                                        6167, 7452, 8158, 8040, 2569, 7915, 2211, 6693,
                                                        7759, 4377, 1826, 5681, 7303, 6264, 4978, 5360,
                                                        6126, 8148, 6848, 7347, 7235, 2327, 6796, 6435,
                                                        3512, 3940, 1853, 4465, 6943, 4243, 7663, 5110,
                                                        6048, 292, 2565, 2266, 5787, 2535, 3694, 1718, 763,
                                                        3300, 1368, 5994, 43, 5745, 2188, 7792, 6803, 5663
                                                    },
                                                    new[]
                                                    {
                                                        700, 2038, 2462, 3534, 3790, 3602, 2202, 3961, 3551,
                                                        1672, 622, 4539, 5321, 6260, 890, 8018, 4255, 6291,
                                                        6843, 7657, 6517, 6056, 1742, 3628, 5397, 678, 1147,
                                                        872, 1663, 5273, 2028, 938, 3798, 13, 2580, 7139,
                                                        415, 5530, 5130, 3195, 1023, 7334, 5952, 6940, 723,
                                                        7714, 479, 3714, 2256, 7409, 4955, 5144, 1034, 1381,
                                                        2595, 2186, 3128, 107, 4501, 3476, 6914, 7433, 5074,
                                                        4536, 3819, 5370, 3283, 3305, 7686, 6897, 3794,
                                                        2376, 6399, 6186, 5024, 5212, 3999, 2571, 2889,
                                                        5656, 325, 4143, 4931, 5961, 706, 244, 1692, 7778,
                                                        1582, 6653, 2015, 6381, 1830, 1947, 3064, 5833,
                                                        2972, 4949, 2418, 784, 5524, 7905, 2590, 4791, 8079,
                                                        6479, 153, 4821, 7131, 2493, 6469, 564, 5828, 2100,
                                                        1936, 3738, 1802, 7564, 4673, 6441, 209, 4570, 4905,
                                                        1532, 5520, 3538, 1858, 6456, 1857, 1651, 3598,
                                                        4123, 2087, 7061, 2745, 2098, 1528, 4168, 7143,
                                                        4286, 7, 3447, 8166, 1753, 6348, 3494, 6656, 3163,
                                                        228, 4004, 7586, 3170, 1490, 1362, 6259, 2149, 6369,
                                                        1753, 7091, 178, 2421, 5674, 1105, 6190, 8159, 6485,
                                                        7202, 6968, 8079, 3507, 3062, 5540, 1714, 3496,
                                                        4110, 3479, 3748, 2129, 531, 7346, 7215, 584, 758,
                                                        4240, 745, 4558, 5979, 1439, 3778, 7892, 7382, 7989,
                                                        3698, 6572, 6372, 1387, 2814, 5370, 5718, 3510,
                                                        4000, 2618, 2560, 6799, 4341, 1397, 6611, 2554, 630,
                                                        4012, 1915, 5658, 5195, 46, 7575, 6365, 3354, 2245,
                                                        5965, 7949, 635, 222, 7197, 386, 8109, 4007, 333,
                                                        4249, 3020, 7388, 3664, 3425, 6616, 5630, 3717,
                                                        7618, 7211, 2216, 1831, 108, 319, 5841, 4723, 3642,
                                                        6525, 405, 436, 5926, 5059, 7610, 6001, 3513, 4881,
                                                        4755, 4340
                                                    },
                                                    new[]
                                                    {
                                                        3874, 2895, 4772, 1432, 2552, 830, 3088, 1182, 4096,
                                                        4588, 2020, 4238, 5308, 6554, 4974, 6542, 1383,
                                                        3698, 7345, 6882, 8149, 6914, 6756, 3532, 5241,
                                                        7778, 6760, 1151, 62, 4686, 6833, 3444, 2076, 5784,
                                                        4336, 1257, 1316, 2373, 641, 6197, 5749, 819, 4587,
                                                        4329, 2758, 4656, 6012, 1786, 5619, 7374, 7615,
                                                        6547, 2587, 684, 1303, 5541, 3832, 2929, 5117, 2733,
                                                        3474, 5952, 2225, 6751, 411, 7510, 5752, 6266, 5764,
                                                        5194, 1729, 2462, 696, 3659, 1507, 2186, 522, 3946,
                                                        828, 1510, 5962, 1101, 3933, 5546, 2393, 1216, 8003,
                                                        3141, 4641, 2198, 8037, 96, 1004, 6755, 4452, 1415,
                                                        2034, 7277, 1215, 1799, 8122, 6036, 3367, 4935,
                                                        6481, 5810, 706, 424, 5903, 542, 6265, 6856, 861,
                                                        4420, 2242, 200, 8011, 3604, 5555, 6156, 6392, 2621,
                                                        1854, 6994, 568, 1735, 1500, 3600, 2343, 451, 3501,
                                                        4832, 1927, 6692, 1343, 4123, 5766, 4667, 4795,
                                                        6689, 886, 6013, 5153, 6229, 6790, 2222, 413, 2040,
                                                        239, 1279, 116, 2387, 4870, 2108, 2414, 4168, 3324,
                                                        4245, 4281, 3914, 7584, 5590, 1255, 2522, 4511, 333,
                                                        3351, 4059, 3211, 6524, 228, 2124, 5859, 525, 8167,
                                                        1860, 2943, 7294, 7866, 5817, 7852, 4898, 7595,
                                                        3940, 4465, 5624, 3851, 517, 6195, 7569, 3135, 902,
                                                        1247, 4387, 1321, 6209, 14, 4512, 339, 804, 1498,
                                                        5490, 3551, 5876, 3933, 1815, 2209, 5955, 397, 4987,
                                                        8107, 3930, 7257, 681, 4452, 1941, 7686, 3169, 2920,
                                                        5075, 3692, 3440, 1835, 1370, 1730, 4291, 5459,
                                                        1118, 5894, 3899, 2170, 3102, 7174, 1806, 6938,
                                                        6146, 1331, 4887, 3634, 5427, 7147, 2297, 200, 7457,
                                                        709, 2489, 2069, 7921, 7659, 4077, 6830, 4902, 6153,
                                                        2181, 1603
                                                    },
                                                    new[]
                                                    {
                                                        1568, 2446, 250, 4413, 3612, 3597, 4915, 967, 4734,
                                                        3529, 764, 6162, 7086, 7879, 2922, 5669, 6674, 4081,
                                                        4160, 226, 1092, 7566, 5697, 7932, 78, 118, 5476,
                                                        4342, 6114, 3122, 3614, 3731, 208, 1923, 3276, 8108,
                                                        7839, 2869, 4854, 5647, 6876, 7463, 5666, 459, 1189,
                                                        498, 5534, 7456, 302, 1142, 5571, 3864, 3935, 1543,
                                                        5001, 469, 5510, 22, 2945, 4719, 347, 7098, 1732,
                                                        7952, 5504, 1551, 1186, 5586, 4967, 436, 5137, 3800,
                                                        3772, 5853, 8118, 3942, 3758, 4796, 1140, 3454,
                                                        4437, 6206, 3143, 2449, 7104, 3576, 3988, 4664, 244,
                                                        1422, 5031, 3283, 5757, 8004, 1601, 1196, 2032,
                                                        7861, 8175, 4070, 6331, 2681, 8116, 4311, 655, 1962,
                                                        982, 6828, 7310, 7364, 8143, 6239, 1294, 2460, 3696,
                                                        1030, 2954, 689, 5274, 2397, 901, 3434, 266, 2704,
                                                        510, 3317, 14, 6304, 5798, 5507, 2292, 1868, 3841,
                                                        51, 5838, 4363, 7974, 1433, 3004, 2925, 4493, 3282,
                                                        7966, 6180, 2073, 2167, 591, 7660, 2378, 145, 3369,
                                                        1411, 6993, 4617, 2951, 2261, 1003, 6333, 7650,
                                                        6386, 8056, 4992, 7197, 220, 5188, 46, 2005, 1109,
                                                        269, 4434, 8041, 921, 2078, 2378, 5861, 294, 1319,
                                                        5021, 2509, 5614, 4905, 5688, 4517, 281, 6892, 676,
                                                        5860, 3837, 3555, 4255, 7957, 1672, 3501, 4125,
                                                        7833, 8044, 1867, 4905, 4809, 3031, 5901, 5347,
                                                        4914, 2753, 4407, 692, 1745, 3750, 1021, 7730, 1097,
                                                        4184, 4508, 3658, 7033, 4725, 2136, 3711, 5421,
                                                        7343, 7308, 2647, 5272, 5921, 4271, 2995, 4011,
                                                        7856, 2179, 5049, 4878, 5047, 2874, 1550, 2935, 865,
                                                        6735, 3404, 1395, 582, 527, 3217, 8131, 5196, 978,
                                                        4082, 4613, 863, 7664, 7468, 2226, 7144, 5635, 7066,
                                                        3327
                                                    },
                                                    new[]
                                                    {
                                                        5830, 4804, 1836, 838, 3404, 4168, 3872, 2958, 3501,
                                                        7297, 1892, 6056, 3224, 5698, 279, 4977, 938, 4572,
                                                        6702, 7023, 7642, 2345, 2862, 4321, 7081, 4843,
                                                        6770, 6788, 4689, 1664, 806, 1898, 1071, 6943, 698,
                                                        2628, 914, 2267, 3247, 6878, 528, 7644, 3109, 546,
                                                        3562, 1329, 7538, 3215, 5756, 1341, 7629, 2685,
                                                        3012, 5899, 7456, 2657, 2344, 1263, 780, 256, 6049,
                                                        6597, 3314, 4358, 8163, 2191, 2959, 699, 70, 3929,
                                                        4409, 4380, 3378, 2390, 3135, 3287, 4496, 438, 6070,
                                                        2182, 6867, 1792, 4383, 7456, 5828, 3249, 1450,
                                                        6993, 250, 3677, 4232, 6583, 7732, 696, 1625, 1265,
                                                        6983, 3716, 3488, 2144, 4447, 2114, 2389, 4224,
                                                        3283, 3270, 77, 2873, 3907, 3706, 6312, 3226, 1041,
                                                        2610, 1233, 7930, 2295, 4374, 3468, 5659, 4238,
                                                        3133, 7921, 1609, 7846, 4520, 149, 297, 5249, 4277,
                                                        3362, 2368, 4738, 5908, 6933, 6266, 4290, 4443, 172,
                                                        8142, 4170, 3727, 5530, 2636, 4728, 1379, 6188,
                                                        6636, 2540, 6108, 4804, 2989, 4067, 3515, 1056,
                                                        3700, 4726, 2653, 1362, 6579, 7025, 7527, 1213,
                                                        2509, 1536, 3920, 3257, 729, 1038, 2326, 6441, 694,
                                                        7625, 6256, 2479, 2779, 6005, 3885, 3589, 1590,
                                                        4132, 5355, 5939, 5312, 233, 3879, 2936, 5812, 984,
                                                        717, 5069, 5512, 966, 4320, 4109, 4550, 3237, 6467,
                                                        6746, 5359, 5691, 2856, 6505, 2957, 7794, 1181,
                                                        3951, 546, 4707, 5792, 3855, 6326, 3694, 2420, 5921,
                                                        1467, 3831, 1137, 2993, 4725, 6919, 829, 4630, 5240,
                                                        7233, 1418, 6803, 3152, 1554, 294, 7739, 7278, 6908,
                                                        8073, 4090, 4002, 6006, 2034, 3027, 613, 3412, 3415,
                                                        7175, 8152, 3314, 2035, 2478, 578, 7813, 790, 6670,
                                                        484, 4837, 8045, 1323
                                                    },
                                                    new[]
                                                    {
                                                        5817, 1847, 4625, 7150, 6778, 6402, 6035, 5264,
                                                        1032, 3844, 2544, 5435, 2447, 2945, 3331, 4795,
                                                        1747, 7907, 2381, 3460, 1839, 3643, 6546, 1977,
                                                        3567, 1224, 1493, 7106, 1662, 5869, 495, 4502, 5906,
                                                        4689, 7663, 5687, 6312, 1481, 6982, 6288, 2592,
                                                        6061, 5468, 6405, 4455, 756, 6124, 5191, 5283, 5840,
                                                        6746, 7131, 7008, 3491, 6732, 7515, 2921, 4380,
                                                        1091, 7142, 7556, 3143, 309, 251, 3135, 977, 510,
                                                        4316, 3337, 4324, 906, 5409, 3089, 812, 3398, 4002,
                                                        5002, 7063, 4714, 2215, 6102, 1261, 2739, 1778,
                                                        5474, 1713, 5617, 8038, 437, 1010, 4328, 4230, 3220,
                                                        5316, 23, 1448, 5355, 0, 6071, 7934, 1817, 2448,
                                                        4409, 4918, 1175, 1333, 7960, 4639, 4235, 6259,
                                                        1585, 165, 4424, 6596, 134, 2476, 6786, 8075, 1279,
                                                        2633, 6310, 650, 4003, 494, 7152, 4688, 2235, 7091,
                                                        4654, 2946, 3675, 4648, 5702, 4555, 3324, 373, 835,
                                                        4074, 7093, 1037, 4387, 2928, 6056, 4190, 407, 5576,
                                                        5459, 4566, 1107, 7902, 4788, 2549, 5323, 7350, 735,
                                                        2984, 2233, 2049, 612, 686, 1042, 2569, 7217, 4983,
                                                        3396, 6322, 3231, 5178, 3249, 2515, 983, 3338, 1913,
                                                        6222, 4600, 3472, 538, 4192, 3945, 8005, 7028, 7443,
                                                        169, 5029, 2259, 6094, 4602, 897, 2446, 6976, 5239,
                                                        6726, 2420, 2, 3306, 6563, 5330, 622, 3584, 3606,
                                                        2557, 3425, 3328, 1722, 6353, 2212, 6076, 689, 4572,
                                                        6827, 5352, 7090, 549, 4412, 5357, 4855, 3420, 4673,
                                                        3950, 368, 7668, 4172, 1460, 3075, 6524, 2707, 218,
                                                        4279, 4700, 5295, 7584, 1449, 1009, 318, 4999, 6810,
                                                        3218, 3678, 5798, 7110, 3485, 4365, 6864, 6175,
                                                        3936, 2821, 6522, 5036, 4305, 6319, 252, 1766, 3808,
                                                        2887, 1548
                                                    },
                                                    new[]
                                                    {
                                                        5170, 1841, 177, 1888, 4996, 1599, 874, 2183, 5046,
                                                        6227, 7463, 5004, 5806, 5783, 7469, 7202, 2451,
                                                        2743, 2985, 4834, 1480, 1790, 2214, 1735, 1692,
                                                        6257, 6622, 1777, 7401, 434, 3085, 4905, 83, 6536,
                                                        4803, 6421, 1849, 3443, 2410, 792, 4583, 5856, 1379,
                                                        1808, 7769, 4570, 5537, 5260, 2458, 4120, 2383, 213,
                                                        8179, 3327, 2580, 6138, 7794, 4428, 5006, 6416,
                                                        2055, 221, 2247, 3165, 6683, 7325, 334, 6252, 3933,
                                                        3120, 6658, 7527, 3739, 5673, 3604, 879, 4364, 839,
                                                        2135, 5077, 7346, 3023, 703, 5582, 5820, 7222, 1251,
                                                        6074, 6500, 4181, 2167, 969, 7426, 5611, 6084, 6717,
                                                        4943, 4460, 49, 1004, 431, 929, 331, 7339, 5289,
                                                        7349, 7699, 4205, 857, 4259, 6905, 548, 478, 4264,
                                                        3696, 7379, 4116, 1541, 5426, 1276, 1181, 7916,
                                                        2031, 3764, 6994, 2645, 3026, 75, 5660, 5579, 6417,
                                                        209, 3185, 7307, 1868, 344, 6145, 3866, 7998, 4124,
                                                        4010, 7048, 6871, 7789, 8106, 1928, 150, 4704, 4161,
                                                        3066, 5735, 7487, 7592, 2708, 7964, 5394, 5418,
                                                        2340, 4244, 7939, 4584, 342, 902, 8034, 2799, 1303,
                                                        6413, 7843, 1601, 4924, 4541, 4782, 2327, 2255,
                                                        3265, 2716, 2427, 5118, 280, 1558, 1418, 6046, 7568,
                                                        6022, 7302, 4115, 3693, 3998, 528, 2666, 4500, 4095,
                                                        3888, 1229, 4345, 4333, 2651, 7533, 1725, 3131,
                                                        2993, 5573, 5144, 1183, 2976, 1488, 2184, 4290,
                                                        7635, 7365, 7032, 3787, 758, 6726, 7579, 1771, 4067,
                                                        821, 7367, 6004, 5344, 1203, 866, 4114, 7133, 2146,
                                                        2232, 4034, 5815, 5389, 5518, 4938, 2810, 5117,
                                                        7338, 3561, 3767, 7366, 2980, 3464, 1742, 5936,
                                                        7945, 7775, 7582, 641, 733, 5720, 6254, 7735, 2480,
                                                        2895, 5591, 6335, 487
                                                    },
                                                    new[]
                                                    {
                                                        949, 6515, 6261, 3831, 6441, 7353, 2528, 7259, 3295,
                                                        6748, 394, 8030, 725, 2338, 6607, 2410, 8155, 4796,
                                                        785, 1159, 6485, 2006, 56, 1724, 3115, 4942, 5408,
                                                        1035, 4509, 915, 2385, 4590, 4500, 1157, 5076, 2096,
                                                        1402, 6022, 4571, 7469, 4234, 5369, 1221, 5166,
                                                        2948, 4957, 7269, 2291, 1947, 3352, 5954, 4656,
                                                        7160, 5907, 2474, 6874, 4101, 7708, 7749, 2570,
                                                        4057, 8183, 4447, 2922, 6885, 2056, 3367, 3783,
                                                        1521, 2915, 1240, 1735, 7629, 514, 7732, 1145, 7407,
                                                        1581, 3860, 7193, 2533, 89, 2715, 7843, 4767, 3620,
                                                        1882, 4319, 7454, 7685, 6476, 4661, 4027, 3306,
                                                        6302, 5163, 6029, 2322, 3127, 4885, 768, 3479, 2668,
                                                        101, 5565, 4517, 4192, 3498, 6573, 4840, 3186, 1239,
                                                        897, 1109, 782, 7562, 1455, 2682, 5679, 7095, 7705,
                                                        3339, 3383, 2896, 3738, 4281, 6493, 7326, 3001,
                                                        3340, 6978, 1583, 2578, 7868, 1446, 5275, 7668,
                                                        2467, 699, 7904, 2320, 3945, 6122, 1805, 2007, 2164,
                                                        8127, 489, 1196, 2044, 3505, 2287, 3986, 5455, 3203,
                                                        6540, 7254, 2641, 1217, 4494, 5406, 3973, 2776,
                                                        2254, 7137, 6423, 7021, 1750, 7666, 1001, 4203,
                                                        1126, 4791, 2737, 5896, 5044, 310, 2680, 2740, 4988,
                                                        6733, 5341, 3840, 1959, 4760, 3891, 7652, 4171, 291,
                                                        106, 3786, 687, 6202, 6206, 7720, 5466, 4669, 1377,
                                                        2478, 1345, 7587, 33, 109, 5871, 891, 6325, 3068,
                                                        3769, 7859, 7032, 5897, 1973, 1518, 5174, 3902,
                                                        2817, 4960, 7615, 6943, 3653, 4729, 6721, 2065, 853,
                                                        5860, 4011, 7042, 4783, 2928, 2271, 2899, 2413,
                                                        7665, 6828, 5562, 4890, 3808, 6921, 547, 963, 4809,
                                                        5600, 7673, 4753, 7198, 5703, 4709, 7062, 3, 1801,
                                                        5909, 4602, 1014, 2960, 6769
                                                    },
                                                    new[]
                                                    {
                                                        5499, 6486, 1938, 2553, 3865, 3189, 426, 3144, 2548,
                                                        938, 7053, 4083, 3345, 1751, 7070, 5284, 3490, 871,
                                                        7103, 2345, 4638, 1871, 1334, 1055, 8006, 1822,
                                                        1449, 1195, 2413, 6604, 2533, 550, 2094, 4923, 5056,
                                                        1459, 8123, 4023, 5788, 915, 7938, 3973, 4724, 4596,
                                                        6674, 3826, 464, 5946, 237, 6165, 1432, 5218, 5580,
                                                        1504, 6079, 4175, 5682, 233, 2725, 1636, 4744, 3258,
                                                        5223, 755, 563, 3182, 727, 2802, 1622, 645, 6298,
                                                        2238, 64, 3872, 4994, 1472, 4819, 5107, 3230, 6031,
                                                        1176, 7508, 1288, 8027, 7822, 8122, 373, 4491, 449,
                                                        6608, 885, 653, 515, 4637, 20, 6146, 2724, 676,
                                                        1435, 3620, 6633, 5014, 688, 2882, 1646, 1458, 7516,
                                                        3742, 5978, 7371, 5309, 1823, 2501, 631, 7277, 5307,
                                                        44, 1632, 2821, 3067, 4497, 6434, 1218, 2491, 6058,
                                                        726, 7707, 3764, 2428, 604, 4411, 6043, 4955, 7292,
                                                        3803, 1876, 3413, 2160, 897, 3534, 3137, 1097, 4798,
                                                        7044, 4259, 6636, 2825, 712, 5550, 3111, 5021, 3537,
                                                        5562, 3777, 8064, 5487, 5489, 7507, 4817, 7737,
                                                        2224, 5005, 2710, 4503, 1955, 284, 1244, 2013, 5295,
                                                        6139, 1189, 5951, 2305, 2014, 6407, 3810, 5836,
                                                        1233, 1588, 7667, 7176, 6442, 6962, 1041, 7728,
                                                        4751, 2005, 6903, 767, 2592, 7151, 5437, 3037, 1427,
                                                        4330, 2646, 4430, 3905, 5009, 648, 1946, 5440, 1482,
                                                        4056, 3008, 7306, 7681, 1599, 164, 1440, 2372, 5413,
                                                        6226, 5260, 2872, 1767, 1561, 1047, 2921, 8067,
                                                        1772, 8031, 1443, 7296, 5500, 2319, 7263, 1528,
                                                        2660, 4550, 2086, 4238, 7000, 6272, 2260, 6895,
                                                        2156, 1056, 3108, 4146, 488, 7476, 3059, 6978, 7403,
                                                        4940, 85, 4635, 620, 7837, 5585, 4029, 7513, 244,
                                                        2599
                                                    },
                                                    new[]
                                                    {
                                                        6823, 1905, 43, 5100, 1767, 1530, 2588, 1171, 3278,
                                                        7036, 2975, 4238, 4553, 2594, 7417, 2235, 4121,
                                                        2443, 4820, 1429, 6534, 4727, 8008, 7292, 7119,
                                                        1808, 3328, 5149, 3205, 4517, 6101, 5755, 4295,
                                                        1586, 1505, 6955, 7891, 2250, 3200, 4715, 892, 4784,
                                                        3326, 2339, 394, 7297, 6119, 5714, 6774, 8010, 4317,
                                                        4373, 6376, 1003, 1821, 4098, 1950, 4683, 7050, 239,
                                                        2779, 4721, 4565, 449, 2252, 6896, 7985, 530, 6035,
                                                        7164, 1783, 1064, 5733, 6808, 6524, 4024, 7786,
                                                        2503, 7840, 1585, 895, 7057, 2987, 7345, 1431, 3942,
                                                        5945, 108, 6432, 2070, 2498, 2203, 3178, 387, 1069,
                                                        869, 4860, 2978, 1834, 5318, 4940, 3411, 4346, 5353,
                                                        2651, 7736, 5709, 5097, 4469, 1224, 3309, 658, 249,
                                                        5832, 5597, 8190, 3032, 3571, 5090, 7865, 181, 990,
                                                        7814, 7802, 5776, 2633, 5898, 4646, 1374, 5555,
                                                        2695, 7321, 4112, 4700, 2810, 2370, 5575, 472, 6448,
                                                        1193, 7872, 7147, 1177, 802, 5504, 3784, 3863, 2939,
                                                        7531, 1605, 267, 3123, 4256, 3837, 1813, 3221, 2184,
                                                        5548, 2623, 5933, 633, 8142, 7500, 445, 7257, 1579,
                                                        8164, 4047, 8070, 6427, 7450, 3270, 3717, 7989,
                                                        3789, 5481, 7250, 8144, 7849, 3490, 4736, 6561,
                                                        5467, 2303, 146, 4066, 4185, 8064, 3509, 6152, 7318,
                                                        187, 8069, 6722, 3777, 7062, 3273, 5851, 4464, 998,
                                                        473, 5939, 7268, 2499, 3482, 2364, 332, 640, 7715,
                                                        5921, 913, 1825, 891, 1137, 486, 5263, 2649, 3567,
                                                        382, 7626, 870, 6992, 4429, 3861, 3617, 3770, 1792,
                                                        4815, 1314, 7237, 160, 3421, 6389, 4370, 3983, 1709,
                                                        6755, 1815, 4694, 7552, 3831, 3223, 1465, 5810,
                                                        1388, 2865, 2279, 4228, 5015, 5625, 3564, 3271, 890,
                                                        7936, 1683
                                                    },
                                                    new[]
                                                    {
                                                        6110, 3339, 1214, 7492, 1391, 6350, 6672, 865, 1353,
                                                        4478, 7329, 2007, 4851, 336, 2856, 4159, 6419, 7085,
                                                        2568, 2636, 1199, 3463, 5837, 1300, 5596, 7563,
                                                        8043, 7520, 4190, 1157, 4391, 5003, 6179, 5520, 480,
                                                        5065, 3345, 585, 1517, 2896, 2388, 5945, 5703, 7699,
                                                        7254, 1067, 3574, 4068, 6705, 7159, 6578, 7249,
                                                        4882, 1668, 7889, 1957, 2055, 7161, 2470, 1740,
                                                        6630, 4417, 8116, 7771, 5194, 2085, 7720, 7032,
                                                        2222, 1144, 2596, 3125, 3589, 5007, 1143, 3554, 149,
                                                        7765, 6124, 4815, 988, 2417, 7255, 8052, 2129, 1948,
                                                        1753, 1423, 6571, 8121, 7187, 4588, 2456, 127, 6608,
                                                        4472, 3128, 409, 144, 7080, 8013, 5675, 5845, 312,
                                                        5369, 4564, 1338, 941, 54, 8066, 3967, 5990, 7315,
                                                        7923, 4891, 7740, 3855, 3472, 990, 1887, 652, 4338,
                                                        5816, 6591, 2439, 2010, 2314, 5410, 4767, 1912,
                                                        6015, 4857, 7314, 583, 2515, 7688, 7575, 3960, 7076,
                                                        7158, 527, 8003, 4856, 4261, 7766, 1492, 5928, 3213,
                                                        4480, 1542, 379, 3386, 1301, 4108, 366, 6973, 4556,
                                                        4631, 8150, 671, 7736, 6880, 7397, 6654, 3414, 2469,
                                                        6211, 7072, 3108, 2506, 1302, 4523, 2306, 170, 7908,
                                                        6580, 6027, 6276, 3965, 2226, 460, 3739, 1371, 3061,
                                                        2487, 7281, 8105, 987, 2437, 3433, 3811, 6878, 6691,
                                                        2784, 3991, 5742, 5939, 2102, 6266, 3090, 2659,
                                                        7874, 7847, 1062, 2682, 921, 7403, 2204, 2668, 1898,
                                                        7450, 491, 5583, 5599, 6978, 4223, 5254, 1337, 5136,
                                                        7184, 944, 1900, 2532, 5983, 4987, 4401, 2767, 5538,
                                                        5231, 3825, 96, 2549, 5233, 121, 1495, 2569, 6930,
                                                        746, 3229, 6365, 4782, 226, 7356, 7074, 2421, 6531,
                                                        6255, 5593, 6550, 6577, 3091, 1064, 5995, 5351, 1412
                                                    },
                                                    new[]
                                                    {
                                                        4498, 4244, 6856, 670, 4675, 4477, 4200, 4924, 1333,
                                                        4938, 5148, 5983, 2584, 1856, 2371, 1083, 4730,
                                                        3306, 6470, 2062, 7463, 3668, 1993, 8121, 999, 1662,
                                                        4293, 6733, 5532, 3870, 6450, 951, 683, 5980, 370,
                                                        7479, 417, 590, 1202, 4997, 3279, 5422, 3565, 2004,
                                                        1270, 5684, 5951, 6195, 2429, 1206, 4928, 6449,
                                                        1307, 3070, 1641, 3190, 5474, 4969, 2422, 833, 4130,
                                                        2289, 355, 6343, 93, 4481, 5614, 267, 7971, 6128,
                                                        7521, 2448, 6865, 5206, 1823, 5292, 859, 3334, 7781,
                                                        3313, 1683, 8139, 2051, 1903, 4488, 5459, 2640,
                                                        3156, 4266, 6710, 3663, 455, 3219, 7775, 2458, 3414,
                                                        4552, 7071, 6396, 6921, 2827, 3798, 6355, 8028,
                                                        2099, 1122, 2111, 4135, 6317, 107, 3452, 4409, 6191,
                                                        7136, 4178, 106, 1863, 2144, 2358, 5167, 3240, 5603,
                                                        5775, 4698, 6828, 7856, 5159, 1781, 2993, 1441,
                                                        5141, 6265, 886, 736, 4204, 5763, 7086, 5127, 408,
                                                        3315, 6889, 749, 1477, 5749, 7587, 5317, 2869, 4285,
                                                        3188, 4607, 4071, 3717, 1327, 7536, 6234, 2001,
                                                        2183, 1110, 474, 7902, 7039, 6805, 2446, 7954, 2479,
                                                        24, 890, 5733, 2257, 4338, 3321, 4203, 405, 4446,
                                                        5349, 2986, 3551, 7550, 734, 6231, 3973, 5619, 5321,
                                                        5401, 922, 2402, 3764, 2582, 916, 4295, 964, 6550,
                                                        4566, 158, 8035, 704, 647, 4265, 7238, 1692, 5157,
                                                        4404, 2428, 2315, 8118, 303, 5842, 1389, 2850, 1238,
                                                        879, 3649, 1645, 1221, 1897, 958, 5079, 5380, 5948,
                                                        6384, 575, 2704, 7688, 8102, 7772, 2445, 8001, 353,
                                                        1312, 4515, 7997, 867, 4621, 1455, 4747, 283, 7795,
                                                        6849, 2138, 3566, 3370, 2421, 8082, 4030, 7152,
                                                        3543, 8064, 7328, 4794, 4824, 1498, 3404, 2636,
                                                        2702, 5137
                                                    },
                                                    new[]
                                                    {
                                                        2722, 3029, 6339, 1600, 1848, 2276, 7632, 4250,
                                                        2664, 3758, 6996, 2451, 3824, 2303, 4353, 2130,
                                                        1846, 6276, 5359, 8144, 243, 6624, 725, 6246, 1104,
                                                        2544, 7245, 1402, 1819, 6184, 1933, 3807, 4211,
                                                        5349, 5045, 7649, 3848, 8168, 4828, 7865, 5700,
                                                        1723, 1440, 4251, 7005, 3520, 6347, 545, 6092, 7485,
                                                        1015, 6692, 4038, 5793, 2640, 4640, 602, 1665, 5295,
                                                        7186, 7593, 2406, 804, 7908, 4219, 6739, 628, 315,
                                                        6271, 129, 82, 6329, 7592, 5182, 1858, 5484, 2766,
                                                        7296, 1311, 3469, 2880, 4010, 1700, 3957, 1324,
                                                        2429, 3651, 6666, 6802, 4309, 4177, 4160, 3007,
                                                        3001, 6912, 5236, 5060, 6775, 6178, 7204, 5543,
                                                        3130, 1273, 3491, 2291, 446, 2010, 1303, 1613, 7079,
                                                        2007, 1055, 3402, 7050, 1426, 4196, 7760, 2018,
                                                        5855, 1694, 3894, 7170, 5061, 5627, 318, 3703, 857,
                                                        4846, 5579, 7164, 8022, 2936, 69, 7984, 7144, 3305,
                                                        5785, 2278, 948, 5479, 5294, 7163, 6010, 5567, 3860,
                                                        5685, 4248, 706, 5508, 7222, 102, 6733, 2658, 267,
                                                        6590, 7502, 6796, 4581, 7852, 4689, 7709, 7269,
                                                        2379, 6893, 1721, 7393, 6086, 6920, 968, 6334, 3724,
                                                        84, 309, 5842, 5813, 305, 2882, 2739, 5990, 6096,
                                                        4005, 508, 1323, 1869, 3087, 1837, 1811, 5435, 3421,
                                                        6568, 3140, 741, 3252, 4142, 1117, 1061, 7833, 2939,
                                                        5854, 7191, 2326, 2553, 6975, 4712, 4415, 6816,
                                                        4875, 295, 4355, 6902, 276, 2576, 7673, 4397, 1411,
                                                        1873, 1048, 4387, 1480, 7630, 3281, 4232, 2346,
                                                        3133, 2851, 156, 6423, 795, 3677, 1432, 7688, 7619,
                                                        7738, 5893, 346, 6460, 27, 4849, 2433, 5733, 4058,
                                                        4226, 834, 5790, 286, 1192, 1947, 3561, 1632, 6946,
                                                        7031, 7011, 4591, 1579, 4856
                                                    },
                                                    new[]
                                                    {
                                                        7461, 4840, 2377, 3450, 7289, 8052, 352, 6028, 2991,
                                                        879, 3873, 4233, 419, 6737, 3795, 1361, 6742, 6333,
                                                        2014, 7026, 4196, 3513, 1047, 3851, 381, 7040, 1617,
                                                        8054, 3622, 528, 8128, 4269, 280, 6132, 3649, 2708,
                                                        6979, 1729, 514, 5367, 7458, 2903, 3970, 1857, 6895,
                                                        6452, 5036, 1589, 3363, 3265, 5578, 5681, 7084, 574,
                                                        4452, 651, 1102, 6483, 2367, 4384, 3230, 3709, 7507,
                                                        1802, 887, 3169, 5420, 4849, 1585, 4881, 3547, 8016,
                                                        7551, 3142, 2133, 7901, 1735, 2527, 6876, 1789,
                                                        2528, 7927, 3543, 1231, 2410, 3317, 3580, 3663, 570,
                                                        705, 7173, 205, 3653, 6781, 5769, 893, 5314, 8169,
                                                        3007, 384, 2926, 6997, 2221, 7981, 2079, 6500, 5890,
                                                        5074, 7997, 1486, 1593, 6292, 2762, 2840, 2281,
                                                        4763, 429, 6438, 5608, 4590, 2722, 3389, 99, 4480,
                                                        2948, 4808, 3256, 4633, 407, 7824, 6591, 214, 1616,
                                                        3759, 7978, 2813, 5971, 1092, 1111, 3801, 3417, 742,
                                                        249, 4606, 4746, 6293, 7385, 7360, 6321, 7223, 930,
                                                        4016, 6019, 7532, 7634, 6878, 5595, 6773, 5673,
                                                        1489, 385, 2727, 4031, 3428, 6117, 5315, 3611, 2589,
                                                        7566, 2049, 3002, 943, 3976, 411, 3271, 7768, 4929,
                                                        7212, 315, 5148, 7570, 5810, 3393, 7266, 7204, 2063,
                                                        3156, 5645, 7017, 3900, 4235, 7196, 8147, 7623, 428,
                                                        5048, 6841, 4121, 1221, 3267, 2931, 4502, 1880,
                                                        3103, 435, 5557, 7956, 5922, 6338, 6845, 3533, 2534,
                                                        7652, 3978, 4165, 6932, 6409, 6754, 326, 3234, 7716,
                                                        3652, 6914, 2230, 1265, 7893, 8068, 6850, 1923,
                                                        5989, 5670, 6641, 256, 4260, 7291, 3645, 5156, 7735,
                                                        4293, 2256, 7856, 1842, 6865, 5438, 3676, 6283,
                                                        6890, 1673, 5363, 1271, 4329, 1332, 2450, 2018, 73
                                                    },
                                                    new[]
                                                    {
                                                        5374, 7638, 2760, 5365, 1296, 4927, 1047, 7698,
                                                        2583, 7672, 6950, 3590, 6472, 2032, 3363, 3506,
                                                        7182, 714, 365, 3261, 1152, 2490, 7784, 3538, 787,
                                                        7104, 1933, 1135, 2310, 8096, 4715, 1337, 708, 2366,
                                                        4936, 2459, 6724, 673, 5407, 5297, 5804, 7359, 5778,
                                                        2077, 3143, 5142, 3026, 1784, 7047, 7827, 6574, 625,
                                                        5107, 6005, 341, 2417, 5837, 244, 6550, 5581, 1396,
                                                        2594, 3147, 5005, 3691, 4445, 2695, 3129, 6452,
                                                        1243, 6612, 7617, 4027, 2881, 5422, 7719, 7259,
                                                        6372, 1941, 6068, 8081, 6393, 2562, 2095, 2855,
                                                        7269, 4824, 6368, 6028, 3065, 7418, 351, 7399, 1903,
                                                        5008, 2934, 5844, 1169, 7899, 7825, 538, 7532, 2102,
                                                        4304, 5134, 1727, 4874, 5719, 7870, 2022, 2645,
                                                        6302, 7826, 5400, 363, 2056, 419, 47, 7919, 3264,
                                                        3375, 8018, 4274, 6222, 4635, 6917, 2192, 832, 7514,
                                                        3313, 1744, 4325, 3498, 4987, 3429, 4544, 1366,
                                                        6933, 186, 5267, 443, 5853, 5681, 5674, 2557, 672,
                                                        723, 2476, 3987, 900, 5165, 2809, 4653, 4315, 3172,
                                                        2708, 4690, 5494, 4958, 2747, 2370, 2412, 4724,
                                                        2680, 4602, 6704, 95, 677, 6831, 5772, 2293, 5465,
                                                        5509, 7080, 6585, 2720, 1701, 356, 5028, 2673, 7508,
                                                        2832, 1153, 7927, 2553, 5397, 7483, 6941, 594, 7097,
                                                        1289, 5881, 5230, 6990, 6733, 1045, 3600, 1778,
                                                        6150, 3971, 4205, 6213, 2706, 368, 3858, 5979, 8080,
                                                        6498, 5122, 6996, 684, 6553, 2362, 4483, 627, 7096,
                                                        5292, 5645, 536, 4285, 5420, 44, 3198, 2939, 727,
                                                        903, 6677, 66, 3273, 4435, 1420, 3686, 6947, 7769,
                                                        5478, 113, 5443, 7690, 2128, 6743, 4888, 3012, 7409,
                                                        3428, 5940, 5893, 5624, 1651, 49, 7231, 6115, 6136,
                                                        5209, 7931, 6661
                                                    },
                                                    new[]
                                                    {
                                                        3331, 5405, 7725, 3902, 7939, 6808, 1534, 7402,
                                                        3428, 3662, 4659, 4270, 5394, 1526, 7625, 1488,
                                                        3713, 1936, 650, 2480, 2819, 3848, 7764, 1325, 7024,
                                                        6699, 7076, 7171, 1038, 7422, 752, 380, 4463, 3820,
                                                        4091, 7244, 396, 7332, 8090, 8086, 4619, 4969, 7239,
                                                        3939, 4711, 6285, 2345, 2726, 3350, 5446, 147, 4702,
                                                        2734, 391, 6694, 7472, 3338, 2770, 5451, 184, 5099,
                                                        6069, 932, 7862, 7855, 4372, 2739, 25, 5401, 2225,
                                                        7209, 7148, 6973, 5207, 6517, 8110, 7020, 5420,
                                                        3703, 6656, 2638, 3483, 2722, 6182, 3385, 519, 5992,
                                                        974, 2827, 5856, 7698, 3427, 6844, 128, 72, 4405,
                                                        977, 3637, 4066, 524, 1650, 3317, 5510, 2303, 3994,
                                                        7809, 2415, 984, 522, 777, 3574, 7660, 117, 5925,
                                                        6616, 811, 1449, 3160, 6939, 6829, 7750, 5889, 6896,
                                                        790, 6175, 1928, 2052, 7461, 5954, 6145, 1477, 6872,
                                                        1098, 900, 6164, 420, 2401, 5818, 1736, 5396, 8031,
                                                        5160, 3464, 6544, 7364, 7026, 2112, 3069, 251, 2450,
                                                        269, 5126, 7089, 8184, 319, 2163, 2731, 1286, 3514,
                                                        1614, 3039, 7327, 6756, 3784, 2493, 2550, 511, 4904,
                                                        5701, 5801, 474, 2449, 534, 3862, 7786, 521, 2346,
                                                        6692, 1602, 610, 809, 5098, 1332, 7033, 3766, 7051,
                                                        2160, 3274, 5379, 1768, 5731, 4602, 3088, 3532,
                                                        5367, 1024, 4386, 6883, 4263, 2778, 3609, 6719,
                                                        6000, 681, 7790, 4261, 2619, 2461, 603, 7417, 2853,
                                                        2613, 3091, 4455, 1824, 461, 4494, 3009, 5358, 4267,
                                                        5845, 3792, 3021, 2695, 4791, 6165, 3718, 5548,
                                                        6295, 1267, 2373, 5127, 6867, 2909, 4166, 3909,
                                                        1489, 6482, 3179, 5242, 5177, 2167, 1129, 1723,
                                                        2523, 5543, 1027, 7915, 8116, 2659, 6802, 277, 2867,
                                                        3872, 2785
                                                    },
                                                    new[]
                                                    {
                                                        5720, 2757, 5034, 5906, 2593, 2451, 6647, 6863,
                                                        1051, 7796, 1240, 1074, 319, 7970, 2093, 2181, 6727,
                                                        6147, 6026, 2893, 8068, 2360, 3256, 2820, 5834,
                                                        6944, 2303, 740, 6744, 5753, 5397, 2329, 1767, 4905,
                                                        430, 1530, 3085, 5257, 5864, 4652, 4008, 791, 4092,
                                                        1759, 5829, 629, 6043, 1289, 2147, 3738, 1488, 1258,
                                                        3383, 7438, 4041, 5480, 3009, 6241, 7283, 5294,
                                                        2047, 895, 2347, 2497, 4102, 578, 7245, 5731, 4610,
                                                        7646, 1131, 4801, 4743, 6456, 13, 1889, 7566, 6935,
                                                        5072, 4219, 6364, 7489, 7005, 7141, 8110, 3008,
                                                        5432, 5210, 394, 7507, 7386, 1931, 5824, 1396, 1469,
                                                        5871, 469, 3277, 2759, 4056, 4089, 1183, 6309, 1430,
                                                        7598, 2897, 3752, 6529, 6443, 4899, 5095, 7243,
                                                        5974, 3230, 3798, 3621, 160, 4169, 784, 5126, 668,
                                                        6439, 5326, 1428, 7461, 7946, 3571, 3600, 1079,
                                                        4398, 4372, 7861, 4104, 6931, 635, 677, 2359, 2705,
                                                        4840, 4332, 7778, 2985, 568, 5152, 7687, 3953, 1176,
                                                        98, 6591, 960, 2207, 4619, 7207, 2145, 4027, 2434,
                                                        574, 4692, 7789, 1976, 3339, 225, 7754, 4964, 5780,
                                                        3601, 3883, 833, 203, 7252, 2340, 5954, 7308, 7474,
                                                        6282, 1534, 5077, 380, 1030, 7698, 8138, 7330, 198,
                                                        2817, 4826, 3480, 3997, 5979, 4411, 2239, 3812,
                                                        2422, 992, 4323, 7250, 5504, 2330, 8104, 4589, 6226,
                                                        5223, 2619, 2228, 8056, 7348, 6958, 1830, 1342,
                                                        5231, 3297, 1239, 1869, 987, 4361, 630, 990, 2034,
                                                        7590, 4765, 2786, 7775, 3538, 4495, 294, 2279, 8061,
                                                        6979, 6696, 4489, 2675, 5172, 7156, 2024, 6278,
                                                        2491, 7782, 5607, 4590, 6238, 6341, 432, 4032, 73,
                                                        7189, 1614, 807, 2172, 1588, 4106, 231, 4262, 2770,
                                                        7912, 2094, 2435
                                                    },
                                                    new[]
                                                    {
                                                        2343, 3452, 3483, 6675, 2954, 1164, 3128, 2570,
                                                        5299, 904, 1701, 6074, 2349, 4498, 4182, 3131, 6569,
                                                        6995, 550, 6619, 701, 7627, 6126, 6913, 6467, 4607,
                                                        2998, 6961, 2527, 442, 1579, 842, 4872, 4381, 6022,
                                                        8102, 1002, 6210, 5595, 6990, 2807, 5578, 6089,
                                                        5622, 2680, 7038, 553, 1916, 5602, 1427, 5485, 7704,
                                                        7658, 6942, 5680, 4022, 5259, 5658, 479, 1490, 6577,
                                                        4549, 8070, 6634, 4880, 114, 1750, 6312, 1214, 2677,
                                                        3284, 3662, 317, 394, 747, 3337, 7446, 5227, 4989,
                                                        3743, 4001, 7868, 769, 8168, 2744, 6925, 5473, 6482,
                                                        6450, 566, 1628, 7254, 3264, 3421, 7294, 292, 1999,
                                                        3362, 2935, 4903, 2950, 6370, 3717, 6262, 209, 7702,
                                                        4504, 7625, 1353, 3958, 4801, 2065, 6938, 1522,
                                                        6768, 6829, 5096, 8178, 7104, 661, 4727, 2369, 82,
                                                        2537, 923, 5736, 1854, 2505, 4369, 2042, 5948, 6843,
                                                        3988, 2327, 6110, 4740, 1189, 5293, 2342, 1638,
                                                        1240, 4288, 3705, 2193, 7535, 2105, 5155, 2774,
                                                        2174, 913, 99, 3182, 890, 2726, 5603, 7559, 151,
                                                        3749, 3076, 5112, 2840, 7022, 3906, 1823, 6966, 258,
                                                        2559, 4740, 621, 5661, 53, 1967, 5647, 3300, 1254,
                                                        51, 5701, 355, 5352, 6458, 3297, 5273, 3797, 2458,
                                                        2333, 2258, 5185, 4495, 5457, 2853, 6945, 5050,
                                                        6794, 7527, 7893, 7896, 6835, 7578, 3791, 3628,
                                                        1071, 762, 4815, 7809, 1370, 6216, 7331, 7979, 1467,
                                                        2636, 2655, 1703, 4568, 6106, 349, 1856, 3461, 1351,
                                                        4282, 4191, 3283, 5333, 708, 3782, 6088, 74, 6054,
                                                        5763, 1230, 5009, 4328, 3492, 2177, 7148, 6875,
                                                        2510, 7573, 3638, 7574, 3964, 1716, 4900, 7932,
                                                        6604, 3834, 7379, 2661, 856, 471, 6575, 7468, 5849,
                                                        767, 2077, 6244
                                                    },
                                                    new[]
                                                    {
                                                        6102, 983, 7568, 4895, 2285, 6580, 5412, 727, 402,
                                                        5687, 1470, 4857, 1615, 5350, 6263, 4863, 7575,
                                                        4781, 8055, 5284, 2183, 2372, 6006, 2147, 2923,
                                                        6015, 6802, 6992, 225, 799, 3712, 6212, 3081, 2103,
                                                        6626, 7837, 2911, 7549, 1724, 1641, 6745, 2325,
                                                        6785, 5992, 7945, 101, 786, 5889, 295, 6965, 2209,
                                                        2970, 1206, 7188, 5397, 5234, 8119, 1354, 5376,
                                                        2930, 5695, 3727, 265, 6209, 3696, 1825, 3504, 6721,
                                                        2759, 4640, 5746, 2331, 4985, 3023, 6748, 7891,
                                                        7735, 1756, 1320, 2332, 6001, 5566, 6322, 1775, 188,
                                                        5746, 6030, 4082, 4373, 25, 3480, 4540, 5076, 5604,
                                                        7354, 2135, 6534, 3065, 2230, 1383, 7819, 4918,
                                                        8113, 4278, 6514, 2956, 3752, 6297, 3904, 1599,
                                                        6424, 6719, 2389, 3583, 425, 984, 843, 7984, 2175,
                                                        4403, 637, 5174, 7389, 5061, 3705, 2825, 5929, 5479,
                                                        5844, 3912, 1798, 563, 2246, 4353, 656, 7262, 3726,
                                                        2791, 2104, 2012, 3325, 4935, 3147, 1710, 6937,
                                                        4960, 6635, 2272, 2203, 1279, 5858, 3594, 1618, 834,
                                                        8068, 7141, 7890, 5960, 1740, 6035, 1842, 7984,
                                                        6400, 3666, 1605, 2399, 2149, 7581, 7780, 640, 529,
                                                        3445, 4516, 1030, 6664, 4740, 3496, 6521, 5643,
                                                        7205, 6480, 2676, 7468, 4478, 7618, 5895, 2751,
                                                        7059, 5388, 5225, 328, 3274, 7085, 1099, 6884, 895,
                                                        1570, 5702, 5565, 7297, 4052, 1577, 5079, 7140,
                                                        6609, 5502, 2505, 7963, 3497, 7434, 64, 161, 7054,
                                                        858, 394, 2053, 1958, 216, 1992, 2686, 7293, 2315,
                                                        7918, 2721, 1017, 6260, 4502, 1564, 5366, 5274,
                                                        5361, 3481, 2458, 5734, 4450, 203, 5521, 5091, 1498,
                                                        6592, 86, 3685, 2630, 6781, 1624, 5743, 4589, 2700,
                                                        4195, 8141, 5159, 7824, 8050, 1372, 301
                                                    },
                                                    new[]
                                                    {
                                                        6277, 7835, 6817, 1360, 7430, 3891, 5948, 2089, 301,
                                                        7802, 6905, 6501, 7254, 5282, 410, 2086, 4225, 6972,
                                                        4697, 1573, 5727, 3709, 3023, 5566, 5469, 2003,
                                                        3584, 423, 5904, 5173, 1055, 7620, 2577, 6537, 3061,
                                                        6120, 48, 6548, 5067, 4329, 2160, 1435, 702, 4277,
                                                        5139, 4782, 7441, 1469, 4617, 148, 2809, 4180, 8112,
                                                        3647, 4787, 6425, 7230, 7145, 879, 956, 4879, 425,
                                                        5686, 7779, 6330, 120, 3526, 6826, 5459, 3801, 3050,
                                                        2809, 3787, 150, 8121, 2727, 5031, 2598, 3966, 478,
                                                        3419, 3667, 2110, 2463, 3955, 3696, 4699, 4587, 977,
                                                        4120, 8143, 2953, 7236, 7098, 2778, 7000, 6182,
                                                        1872, 6673, 3351, 4934, 4630, 601, 6419, 4072, 2587,
                                                        8080, 1625, 5943, 4615, 5839, 2307, 706, 3477, 1018,
                                                        6063, 4189, 6088, 7449, 3936, 1814, 336, 4401, 1692,
                                                        1213, 769, 6091, 547, 4366, 2712, 4529, 7039, 7674,
                                                        3343, 941, 2969, 2272, 3990, 7149, 3955, 6806, 2954,
                                                        2497, 4312, 7141, 4663, 7688, 2328, 5610, 7488,
                                                        8054, 3811, 3285, 1024, 1046, 5089, 6859, 5963,
                                                        7191, 1000, 7417, 3799, 5609, 1584, 808, 8060, 4156,
                                                        7836, 553, 2172, 1793, 1668, 5590, 5636, 7423, 5791,
                                                        8093, 6004, 1010, 5710, 6153, 277, 6701, 6927, 1618,
                                                        4484, 1629, 4814, 1592, 2016, 5279, 79, 5094, 3031,
                                                        6262, 6288, 2881, 3424, 3071, 36, 6215, 172, 4767,
                                                        1312, 5869, 3069, 7990, 7180, 5765, 6929, 7551, 750,
                                                        1084, 4053, 5178, 765, 4858, 1942, 0, 6101, 7329,
                                                        5194, 6577, 2443, 5671, 5592, 6211, 602, 7363, 1641,
                                                        5108, 7779, 7612, 2220, 5511, 3240, 4037, 5588,
                                                        4564, 5921, 5175, 3968, 1202, 7014, 4145, 2647, 104,
                                                        3007, 1287, 5721, 305, 1760, 5890, 166, 2359
                                                    },
                                                    new[]
                                                    {
                                                        3263, 2880, 3448, 1016, 6602, 1301, 6052, 505, 5492,
                                                        7281, 3760, 5548, 2169, 3764, 2418, 2983, 351, 4802,
                                                        3338, 6370, 3169, 3366, 6413, 6377, 4656, 2798,
                                                        7883, 4210, 440, 7743, 6817, 6686, 1704, 3263, 3896,
                                                        3451, 5540, 6903, 8087, 1373, 5438, 6566, 2046,
                                                        2043, 731, 2396, 284, 7109, 3231, 1372, 2063, 935,
                                                        3314, 1412, 6019, 3815, 6589, 1050, 4979, 1820,
                                                        1519, 7297, 8190, 3911, 7383, 3408, 2155, 6425, 408,
                                                        5639, 4899, 1396, 5736, 7072, 2164, 211, 4665, 5944,
                                                        2363, 6188, 1836, 3172, 6482, 7243, 7387, 7040,
                                                        7546, 5185, 6721, 4061, 2399, 6316, 4739, 1694,
                                                        3156, 5342, 2171, 3721, 2478, 7229, 899, 4229, 4538,
                                                        680, 4711, 127, 7210, 7593, 6350, 1373, 1929, 4199,
                                                        2909, 721, 5099, 7795, 18, 3588, 4233, 5598, 3226,
                                                        7197, 5006, 5287, 2226, 105, 6973, 5567, 7716, 2072,
                                                        5287, 5178, 931, 8185, 3097, 3530, 4367, 3154, 377,
                                                        6633, 6259, 6895, 6387, 2014, 1608, 5377, 5049,
                                                        4470, 1577, 793, 4068, 6491, 6362, 4607, 6895, 6455,
                                                        6033, 2671, 6987, 1026, 3984, 4367, 2552, 5447,
                                                        4737, 1027, 1319, 2110, 7556, 5664, 6223, 3955,
                                                        8024, 1287, 922, 5809, 7042, 7291, 7039, 7802, 6843,
                                                        5495, 6602, 5230, 6915, 3724, 3083, 7155, 752, 5915,
                                                        1060, 6748, 7614, 6324, 1528, 251, 6461, 393, 384,
                                                        1280, 3007, 1318, 2633, 1840, 2640, 4725, 1911,
                                                        1050, 7605, 4060, 2863, 5139, 2443, 3993, 5701,
                                                        2726, 2050, 3754, 2816, 2283, 6398, 5686, 3214,
                                                        6796, 5770, 4648, 7643, 5122, 1557, 8151, 3138,
                                                        5293, 96, 4297, 1353, 7568, 4694, 2609, 858, 8182,
                                                        6714, 5716, 2143, 6593, 1146, 2343, 7317, 4995,
                                                        5306, 2818, 4442, 2803, 6368, 6996, 4911
                                                    },
                                                    new[]
                                                    {
                                                        2568, 7246, 6853, 1975, 5589, 631, 5342, 3982, 4891,
                                                        5318, 6434, 4555, 1818, 2827, 3003, 339, 7555, 4264,
                                                        1214, 5512, 4131, 6816, 7689, 5358, 2578, 1626,
                                                        1285, 43, 5854, 7506, 6513, 941, 1851, 3467, 400,
                                                        3032, 4859, 2517, 6303, 785, 446, 4279, 7894, 7178,
                                                        5140, 5901, 1140, 7062, 5826, 939, 2747, 6881, 801,
                                                        2360, 2964, 280, 1765, 897, 6098, 7075, 7622, 2003,
                                                        4970, 3292, 213, 3317, 3099, 2399, 5231, 6287, 5808,
                                                        2907, 6404, 5814, 751, 3585, 1631, 5533, 5059, 4954,
                                                        6984, 2181, 2356, 6203, 2419, 6560, 7196, 4795,
                                                        7944, 7033, 4399, 3717, 2664, 8000, 3025, 868, 4987,
                                                        1296, 5516, 8018, 7900, 7403, 244, 3890, 6439, 2641,
                                                        3430, 589, 876, 8160, 1322, 4329, 4656, 1048, 3204,
                                                        7478, 6338, 3825, 5568, 5705, 2538, 2189, 7179,
                                                        3059, 1171, 5221, 3589, 1643, 7352, 4772, 4931,
                                                        2855, 5115, 4846, 5966, 6017, 617, 3471, 3236, 1205,
                                                        5766, 1413, 2559, 921, 4971, 1448, 2446, 4567, 794,
                                                        1044, 3874, 3885, 7099, 4937, 3787, 3406, 2758,
                                                        3680, 591, 3663, 5445, 2898, 8143, 7499, 1363, 7842,
                                                        596, 347, 2629, 163, 569, 3201, 2202, 5881, 3539,
                                                        840, 7127, 2863, 8141, 1589, 6245, 2178, 4933, 7332,
                                                        7567, 93, 7845, 1082, 1918, 1902, 912, 6100, 963,
                                                        672, 1888, 4252, 3451, 3823, 1942, 7427, 3525, 334,
                                                        1345, 3442, 1375, 2576, 1602, 8110, 3617, 645, 285,
                                                        5468, 1501, 2168, 1120, 6106, 4790, 4561, 6395,
                                                        5112, 6298, 5464, 1708, 3507, 272, 2118, 1964, 4269,
                                                        5731, 1387, 3723, 7349, 3965, 1376, 4543, 4455,
                                                        2734, 2519, 7046, 4379, 5473, 2002, 4158, 4758,
                                                        3412, 5242, 2976, 2841, 4874, 808, 5155, 4094, 7561,
                                                        7168, 3174
                                                    },
                                                    new[]
                                                    {
                                                        6488, 6892, 2586, 3110, 4579, 3375, 4052, 220, 5191,
                                                        6805, 6679, 8170, 6031, 4859, 359, 1502, 3273, 6459,
                                                        7877, 7573, 1903, 6039, 3886, 3700, 7866, 7570,
                                                        6282, 2010, 720, 6554, 4418, 4884, 4237, 4994, 2986,
                                                        757, 3436, 1348, 7477, 2081, 7525, 1426, 4687, 124,
                                                        7958, 1783, 7462, 2685, 3646, 2063, 5633, 1405, 931,
                                                        103, 5452, 6158, 5556, 2675, 2551, 6223, 5303, 3997,
                                                        5568, 2214, 7668, 3916, 1416, 1550, 7200, 1733,
                                                        2105, 659, 1404, 6402, 2714, 7324, 4489, 5276, 1322,
                                                        135, 7280, 430, 4192, 1489, 1604, 7257, 3224, 3067,
                                                        1966, 8105, 1391, 3513, 6932, 6857, 5791, 6395,
                                                        6164, 3088, 3510, 768, 233, 4588, 525, 5920, 7608,
                                                        1360, 5726, 3791, 1818, 1399, 1280, 5757, 7701,
                                                        1418, 6376, 4603, 3940, 599, 4215, 3087, 6580, 1499,
                                                        7337, 2043, 4913, 5073, 1878, 409, 2744, 1514, 7705,
                                                        3799, 4443, 4453, 4190, 6117, 6379, 3923, 3572, 996,
                                                        1925, 3384, 3466, 980, 7552, 5532, 4537, 2390, 1013,
                                                        1612, 2731, 119, 1020, 4255, 6794, 7821, 1792, 1562,
                                                        1022, 4093, 6397, 3063, 7022, 1383, 2358, 6083,
                                                        4926, 3800, 5356, 1178, 5271, 6410, 3334, 5237,
                                                        2420, 8011, 1263, 7155, 4280, 7333, 660, 4442, 5779,
                                                        1347, 8180, 5794, 3253, 7223, 652, 1257, 1512, 7478,
                                                        1585, 4878, 1091, 7069, 2006, 2701, 7576, 5759,
                                                        1139, 3905, 3897, 6269, 3682, 3479, 3115, 5312,
                                                        8073, 588, 6820, 1264, 5739, 5821, 4857, 5923, 7717,
                                                        1464, 4771, 6948, 8012, 3139, 7819, 7954, 5341,
                                                        5774, 3915, 2516, 3001, 1540, 5575, 4040, 625, 2284,
                                                        1165, 7660, 7295, 6809, 5320, 4501, 7077, 2110,
                                                        4996, 2181, 4014, 7284, 2425, 1889, 924, 6089, 945,
                                                        1382, 997, 6678, 4541
                                                    },
                                                    new[]
                                                    {
                                                        281, 1367, 7676, 5610, 5661, 5761, 4907, 4774, 3382,
                                                        983, 7577, 8187, 1194, 2794, 1429, 477, 2384, 170,
                                                        5417, 642, 440, 4199, 6712, 346, 6789, 4373, 2135,
                                                        8048, 188, 1655, 4650, 4935, 3002, 6731, 4481, 7729,
                                                        2893, 1768, 976, 2194, 7677, 1873, 2672, 1699, 708,
                                                        5543, 763, 7773, 7555, 8038, 4402, 6766, 5440, 2239,
                                                        2544, 5759, 5995, 1322, 3199, 3516, 4014, 2470, 25,
                                                        7801, 6388, 5619, 1166, 5027, 3079, 1080, 5581,
                                                        2906, 623, 6660, 1862, 6536, 1105, 5463, 3162, 4494,
                                                        1178, 1391, 7387, 7918, 5769, 2057, 62, 4862, 7192,
                                                        5533, 8088, 4264, 1496, 5691, 7986, 8171, 1980, 472,
                                                        4302, 4290, 4425, 6361, 775, 1924, 2768, 6153, 770,
                                                        75, 1517, 5046, 4242, 2390, 1389, 899, 1348, 4356,
                                                        6145, 2732, 3490, 4910, 5819, 465, 6291, 3557, 3699,
                                                        3343, 4252, 6015, 3238, 5464, 117, 5110, 8073, 1536,
                                                        4945, 4468, 7526, 5345, 1148, 2899, 4281, 2426,
                                                        8034, 2995, 3244, 1528, 249, 8163, 6249, 3921, 4987,
                                                        3427, 6632, 3903, 1846, 7776, 6657, 7513, 2687,
                                                        4958, 30, 7603, 5193, 831, 7453, 5034, 1173, 4807,
                                                        5648, 7703, 1128, 7808, 2644, 1766, 7770, 3791,
                                                        5331, 3587, 4422, 5717, 7714, 4763, 6915, 7743,
                                                        4325, 849, 5273, 871, 2020, 5869, 1685, 352, 6613,
                                                        5908, 891, 4096, 5736, 1751, 5903, 575, 3437, 5177,
                                                        4864, 4724, 931, 1723, 4788, 7231, 5426, 3014, 3168,
                                                        1758, 3735, 6619, 1836, 2643, 4556, 1369, 7921,
                                                        8008, 1707, 2841, 6539, 3772, 3188, 4349, 3712,
                                                        2404, 2898, 8044, 5306, 5981, 3850, 538, 6687, 2871,
                                                        2636, 6541, 2423, 6826, 6176, 6591, 4908, 3323,
                                                        1044, 2348, 6477, 3857, 4181, 7839, 8000, 5067,
                                                        2885, 4872, 703
                                                    },
                                                    new[]
                                                    {
                                                        1531, 2153, 4283, 2100, 5509, 1771, 3635, 7775,
                                                        1376, 1904, 2841, 7039, 1971, 2558, 5384, 5739,
                                                        1717, 7029, 5765, 4477, 361, 6578, 4246, 2527, 1849,
                                                        15, 4305, 6901, 3290, 1063, 3252, 1135, 6143, 3028,
                                                        7112, 59, 7750, 7953, 3386, 7743, 3006, 7538, 8110,
                                                        153, 5212, 7921, 5845, 2433, 4322, 7084, 5732, 8089,
                                                        6168, 2193, 7313, 8009, 3625, 2298, 3708, 6185,
                                                        1928, 4087, 7402, 379, 8037, 6484, 1991, 4964, 2910,
                                                        1861, 4375, 415, 5560, 2990, 2082, 3844, 1267, 6067,
                                                        2895, 5717, 2326, 1889, 6034, 2948, 4610, 1249, 434,
                                                        7267, 7280, 226, 565, 5836, 6996, 1550, 6572, 2465,
                                                        5689, 6321, 1966, 8138, 4821, 6582, 1949, 7222,
                                                        7773, 3010, 6506, 6518, 6349, 3984, 409, 6728, 6405,
                                                        6587, 7792, 4443, 5337, 7763, 3924, 3022, 7728, 792,
                                                        6801, 3055, 7150, 1286, 2319, 5092, 5269, 4671,
                                                        2882, 7212, 4826, 1325, 935, 7074, 2876, 2681, 5242,
                                                        4217, 575, 1591, 7275, 5333, 7504, 8162, 7619, 4175,
                                                        3382, 2860, 3374, 4468, 4872, 6317, 2370, 1769,
                                                        3529, 6838, 1116, 5810, 4924, 2982, 6322, 7919,
                                                        2000, 700, 5493, 6673, 2644, 7389, 5148, 1747, 6412,
                                                        7988, 6592, 674, 310, 7271, 5227, 4170, 4928, 7340,
                                                        2278, 115, 5024, 6568, 3164, 4815, 210, 7186, 2533,
                                                        1563, 977, 2440, 5002, 950, 6952, 3690, 6089, 786,
                                                        5871, 5510, 1781, 5663, 4892, 142, 2618, 3285, 2835,
                                                        4543, 738, 1638, 7332, 5428, 4944, 4218, 40, 6669,
                                                        4455, 8164, 4047, 7346, 165, 3344, 6798, 730, 1596,
                                                        2394, 931, 322, 4976, 435, 1105, 6733, 4684, 5258,
                                                        4038, 4356, 2094, 2087, 5486, 3366, 1672, 3009,
                                                        3109, 7474, 724, 5463, 3564, 3932, 4210, 528, 3417,
                                                        1776, 1115
                                                    },
                                                    new[]
                                                    {
                                                        7819, 7682, 219, 7008, 409, 4906, 4274, 2344, 5464,
                                                        4822, 7766, 7784, 2998, 2200, 6830, 5572, 5459,
                                                        6591, 6339, 5620, 2817, 1706, 1863, 6909, 5907,
                                                        6670, 1109, 7278, 6721, 2810, 6075, 2555, 2192,
                                                        4256, 6643, 6567, 4010, 471, 6452, 1122, 2648, 7951,
                                                        7927, 6466, 8161, 2393, 5658, 5742, 5998, 1992,
                                                        7600, 189, 6935, 399, 1066, 5056, 6147, 7332, 3813,
                                                        5561, 7290, 7365, 2373, 2720, 817, 1593, 205, 4373,
                                                        2962, 1275, 8163, 3697, 4567, 2661, 7243, 5395,
                                                        4042, 4468, 7414, 2298, 1164, 2398, 3114, 819, 2125,
                                                        1987, 6457, 6124, 1536, 8131, 4079, 4120, 6645,
                                                        2784, 5321, 4674, 4036, 7276, 4035, 4267, 5417,
                                                        7636, 6174, 4368, 1200, 749, 581, 2230, 6635, 3824,
                                                        1329, 7470, 7239, 3681, 1985, 1601, 695, 3529, 4293,
                                                        1297, 4646, 1119, 1784, 2556, 7732, 3305, 4774,
                                                        4488, 1638, 2654, 831, 6245, 542, 217, 1377, 5079,
                                                        6996, 16, 4029, 1306, 2664, 7570, 4302, 6273, 59,
                                                        5667, 5403, 89, 4454, 367, 7662, 6053, 5162, 6700,
                                                        5915, 7750, 2831, 2430, 7420, 6230, 6592, 2169,
                                                        5036, 7074, 7540, 308, 5081, 1047, 4905, 2522, 3068,
                                                        7063, 7782, 7525, 7669, 1231, 4899, 3208, 5230,
                                                        2598, 2730, 2317, 5956, 6962, 2939, 1355, 6942,
                                                        5578, 7690, 6080, 1678, 5250, 547, 1320, 7374, 1155,
                                                        4917, 6088, 7983, 4383, 8141, 537, 8119, 1139, 717,
                                                        5449, 5641, 261, 7948, 3690, 1730, 2438, 1106, 4063,
                                                        491, 7970, 218, 2038, 245, 7897, 1556, 7453, 7029,
                                                        3879, 7357, 3482, 7382, 890, 4610, 891, 1241, 4908,
                                                        6751, 7128, 476, 83, 1732, 248, 4490, 7807, 1395,
                                                        7772, 6392, 1861, 5152, 2089, 3291, 3151, 1905,
                                                        3450, 4417, 3318, 317, 2918, 4129
                                                    },
                                                    new[]
                                                    {
                                                        3305, 7962, 217, 3000, 318, 6527, 3254, 4131, 1531,
                                                        2749, 2126, 740, 5367, 6097, 7200, 2579, 6346, 2536,
                                                        1088, 5639, 2603, 3518, 506, 7227, 7232, 1602, 3286,
                                                        3029, 5792, 4327, 1186, 7229, 1852, 4476, 773, 2523,
                                                        2815, 2983, 270, 3849, 5096, 7044, 1010, 1321, 2776,
                                                        836, 6873, 5965, 3556, 7864, 7886, 6993, 5885, 687,
                                                        5862, 7964, 6758, 1884, 3970, 3181, 5300, 5242,
                                                        1509, 2834, 8048, 1217, 112, 6856, 629, 4526, 7075,
                                                        2464, 7501, 7146, 7519, 6970, 3281, 5095, 5016,
                                                        5098, 1356, 6148, 7033, 3486, 5420, 4187, 4227, 854,
                                                        5294, 212, 6534, 2041, 2265, 5934, 3525, 909, 7100,
                                                        4302, 5589, 2955, 4269, 3028, 26, 1517, 1842, 1353,
                                                        5762, 3359, 3133, 6412, 481, 396, 1334, 354, 3140,
                                                        3458, 5158, 647, 934, 6352, 885, 2723, 5776, 4110,
                                                        2339, 4873, 382, 5605, 3619, 4025, 3598, 3308, 7297,
                                                        8109, 1759, 7330, 2992, 8078, 6028, 6708, 2404,
                                                        5165, 6710, 7482, 4318, 35, 4058, 3341, 2034, 8164,
                                                        1792, 1182, 2825, 3445, 2294, 5309, 6926, 1925,
                                                        8021, 6924, 7745, 4824, 870, 2549, 2587, 1298, 6838,
                                                        2744, 3789, 1899, 2146, 1860, 6713, 3, 3531, 7499,
                                                        2986, 3318, 3989, 5546, 4155, 6825, 1116, 7592,
                                                        3993, 7586, 3513, 4012, 3022, 3866, 7193, 7853,
                                                        1793, 1929, 6599, 1385, 2116, 4051, 620, 7722, 6573,
                                                        4611, 4688, 7735, 2611, 4432, 145, 4727, 4994, 3409,
                                                        6386, 4778, 1133, 6140, 4492, 1172, 4975, 642, 7307,
                                                        264, 5375, 1246, 5979, 2667, 2078, 7936, 3302, 8047,
                                                        1871, 995, 3461, 3654, 2584, 5679, 7112, 1795, 201,
                                                        6161, 4687, 3541, 2007, 3263, 5080, 141, 4907, 2907,
                                                        3651, 2869, 7008, 1059, 6893, 5398, 19, 2278, 7907
                                                    },
                                                    new[]
                                                    {
                                                        5574, 4738, 5767, 3098, 1920, 1752, 4533, 3093,
                                                        4655, 1373, 2623, 6128, 5730, 2116, 1091, 1906,
                                                        1927, 276, 4584, 2520, 6189, 99, 2084, 4184, 5930,
                                                        209, 5517, 4062, 2597, 5308, 6098, 7957, 3969, 3427,
                                                        3324, 7167, 3633, 5789, 3559, 3284, 4290, 4461,
                                                        3411, 6614, 302, 7169, 304, 7491, 2078, 1018, 182,
                                                        1470, 666, 5090, 5587, 5679, 5412, 8181, 1213, 3233,
                                                        1024, 5088, 2793, 0, 7195, 4001, 231, 8023, 916,
                                                        2244, 3732, 6072, 6572, 620, 6316, 659, 4256, 2952,
                                                        6185, 3313, 3541, 1503, 2431, 3741, 8185, 3500,
                                                        3144, 4354, 5627, 1821, 7197, 4157, 284, 8020, 2809,
                                                        7214, 6688, 1187, 1121, 6217, 6064, 6163, 4401,
                                                        2738, 5145, 7361, 5641, 7551, 3366, 7339, 1573,
                                                        4255, 4029, 7630, 1467, 532, 339, 4274, 811, 1327,
                                                        1228, 460, 7661, 8187, 7704, 3809, 5674, 3648, 5543,
                                                        5566, 3556, 5265, 1592, 4500, 3018, 773, 3997, 3595,
                                                        6793, 3202, 8084, 6932, 1055, 5918, 5576, 6936,
                                                        7461, 3527, 884, 7964, 62, 5034, 377, 4868, 4428,
                                                        1613, 1488, 4722, 3276, 7647, 7367, 7643, 806, 3566,
                                                        5159, 1714, 1753, 7736, 5500, 2605, 8007, 5002,
                                                        4441, 4222, 7863, 4138, 5545, 7378, 6143, 547, 6890,
                                                        2467, 247, 439, 6131, 1830, 6464, 5325, 2985, 3574,
                                                        2665, 7386, 382, 7139, 204, 5372, 5430, 3297, 4787,
                                                        4413, 6418, 6159, 6043, 2539, 7812, 7956, 3925, 855,
                                                        2464, 1262, 4713, 5885, 5024, 918, 4732, 6746, 3703,
                                                        3485, 7081, 2519, 7184, 1025, 1310, 2989, 7003,
                                                        2633, 3322, 5963, 2038, 3193, 6704, 3361, 2217,
                                                        1403, 4715, 7001, 7345, 1536, 6848, 5801, 6419,
                                                        5611, 901, 7586, 45, 6497, 4639, 1135, 6755, 4899,
                                                        6055, 2386, 3847, 2239, 7285
                                                    },
                                                    new[]
                                                    {
                                                        3606, 2236, 5582, 6472, 796, 2436, 8051, 2573, 5730,
                                                        4270, 6592, 180, 4657, 4776, 2412, 4732, 2465, 6533,
                                                        3501, 983, 3314, 7169, 2730, 1629, 1352, 4217, 5405,
                                                        5675, 3255, 6123, 7590, 7572, 1632, 5810, 2145,
                                                        3344, 2097, 4723, 1760, 4046, 6032, 2663, 3978,
                                                        7382, 1814, 650, 6319, 4914, 5161, 6099, 4486, 3272,
                                                        3029, 5446, 5415, 5878, 6421, 444, 4710, 4191, 3033,
                                                        3345, 1519, 867, 7017, 6645, 7456, 464, 2426, 8028,
                                                        2220, 5301, 3498, 6332, 7451, 7528, 7238, 5899,
                                                        5127, 574, 4003, 4073, 2512, 7066, 5468, 6247, 3157,
                                                        2966, 5816, 3015, 4736, 6156, 5223, 6873, 5767,
                                                        3210, 460, 4246, 2515, 4683, 6938, 3889, 7955, 6762,
                                                        2758, 962, 8085, 2072, 5885, 1701, 338, 6361, 2201,
                                                        5211, 1427, 1215, 3581, 1450, 8047, 4446, 1233,
                                                        4611, 1180, 5298, 5011, 5658, 672, 4160, 702, 4930,
                                                        3280, 6228, 6486, 1188, 7925, 7215, 6679, 7585, 49,
                                                        7368, 5310, 3187, 6666, 7928, 7864, 6515, 3318,
                                                        7420, 3441, 1124, 6612, 6793, 4247, 2543, 949, 5663,
                                                        2010, 7663, 7212, 7533, 6662, 3475, 2432, 1788,
                                                        2629, 5815, 115, 1204, 5615, 969, 5280, 5129, 6797,
                                                        894, 4307, 6511, 7635, 3118, 1985, 3195, 5535, 2172,
                                                        4071, 2740, 86, 433, 7682, 4021, 6682, 1538, 4663,
                                                        7668, 2769, 8031, 4291, 5423, 1569, 1238, 5013,
                                                        1627, 7136, 5064, 3625, 3616, 6932, 5637, 4764,
                                                        5900, 164, 6775, 4861, 4811, 6896, 623, 1925, 4129,
                                                        4220, 4280, 7475, 6110, 4260, 6047, 4829, 2942,
                                                        2413, 1133, 7611, 7950, 1705, 7284, 665, 2591, 8065,
                                                        5867, 2277, 7487, 7817, 6170, 2290, 5348, 4690,
                                                        6089, 4772, 3602, 2247, 4541, 7972, 1858, 2969,
                                                        6164, 2215, 3767, 3545, 5747, 6712
                                                    },
                                                    new[]
                                                    {
                                                        526, 7909, 3825, 2804, 1501, 6693, 4029, 1451, 838,
                                                        7616, 3025, 1898, 8028, 3347, 7918, 6274, 7952,
                                                        5959, 8089, 2896, 3783, 5250, 6498, 5123, 15, 7422,
                                                        6067, 6136, 2011, 5126, 8093, 7368, 1690, 6708, 241,
                                                        1916, 6747, 3836, 807, 3097, 1829, 2442, 4064, 6111,
                                                        1648, 4402, 6575, 3977, 5968, 2597, 79, 1537, 4266,
                                                        1132, 1608, 1432, 6952, 6468, 2962, 4590, 6081,
                                                        6160, 5252, 87, 631, 7658, 6250, 841, 4631, 6168,
                                                        6549, 762, 4153, 972, 6731, 1280, 1035, 1120, 5229,
                                                        4599, 5108, 2247, 6642, 4909, 4813, 5237, 8029,
                                                        1998, 6703, 7439, 4370, 2086, 332, 6363, 2866, 2748,
                                                        2178, 456, 204, 2094, 336, 5071, 5647, 3341, 1054,
                                                        4577, 8146, 5709, 1334, 7313, 5499, 7075, 185, 6550,
                                                        4570, 5671, 5095, 5009, 5966, 6924, 3649, 5029,
                                                        6233, 7176, 7612, 7627, 2634, 6676, 1670, 6225,
                                                        6429, 2765, 6337, 7928, 5803, 5582, 5333, 7701,
                                                        8136, 6325, 1731, 7399, 1360, 7248, 4926, 2176,
                                                        3083, 123, 5486, 2697, 3474, 1397, 7022, 2871, 6169,
                                                        6069, 3669, 1962, 2390, 5112, 1278, 2942, 713, 6940,
                                                        2768, 5697, 5417, 3768, 4625, 1514, 4392, 5899, 89,
                                                        1446, 3417, 3588, 4512, 758, 5193, 5225, 3841, 4012,
                                                        6877, 8032, 5754, 3133, 1662, 3000, 3709, 6707,
                                                        7013, 900, 2003, 1072, 7162, 4527, 1698, 6596, 3231,
                                                        8142, 3350, 2140, 6074, 2152, 7417, 5696, 2917,
                                                        6520, 5800, 1913, 2550, 6467, 3488, 954, 6153, 5694,
                                                        855, 1522, 1439, 268, 4506, 3300, 1804, 1812, 2875,
                                                        3401, 5732, 5816, 5208, 7273, 3864, 2713, 2753, 308,
                                                        2112, 5206, 1909, 3655, 2663, 5150, 4758, 7539,
                                                        1967, 3476, 7484, 1242, 3525, 3141, 7325, 4155,
                                                        6951, 6757, 3363, 5317, 2470
                                                    },
                                                    new[]
                                                    {
                                                        3860, 6503, 7564, 2347, 7909, 5434, 6704, 3038,
                                                        3285, 2213, 3832, 3263, 7297, 7375, 723, 5944, 1543,
                                                        2734, 5830, 1616, 5573, 1333, 495, 7945, 5407, 534,
                                                        454, 2507, 2945, 5449, 1554, 4839, 2073, 3522, 896,
                                                        6940, 545, 7817, 5231, 25, 3583, 6460, 2932, 5658,
                                                        1894, 5468, 1334, 5034, 1787, 3073, 4059, 4218,
                                                        2370, 4499, 3491, 3097, 6937, 1094, 7861, 1887,
                                                        1839, 4649, 4526, 5347, 260, 3093, 5567, 3884, 5038,
                                                        949, 5040, 7134, 332, 3179, 1501, 3655, 2723, 1866,
                                                        1372, 1304, 6318, 1511, 604, 4882, 343, 2345, 376,
                                                        6584, 2038, 3591, 5289, 7652, 2427, 4433, 6042,
                                                        3723, 6634, 5755, 1180, 4027, 2766, 1308, 8155, 630,
                                                        3278, 2917, 324, 139, 3148, 6800, 5533, 1846, 4720,
                                                        7112, 6203, 7608, 1318, 1421, 4592, 68, 6790, 7328,
                                                        5158, 6385, 5181, 6712, 7887, 2972, 5362, 4722,
                                                        4022, 7518, 3508, 3381, 826, 5623, 613, 857, 7911,
                                                        445, 7871, 5461, 893, 481, 4249, 7246, 7461, 6113,
                                                        1696, 1332, 6866, 216, 2512, 5055, 6765, 5328, 1137,
                                                        3957, 7717, 2716, 3175, 1081, 4389, 3651, 7594,
                                                        3786, 1286, 2896, 5579, 583, 1981, 7348, 3738, 3929,
                                                        1619, 7693, 3778, 1275, 926, 2607, 7224, 6977, 5443,
                                                        7248, 917, 1493, 5792, 2290, 2195, 3480, 3069, 4327,
                                                        5899, 3176, 179, 6215, 4895, 7107, 2261, 6709, 6912,
                                                        5429, 3010, 5745, 3409, 4417, 5048, 17, 3870, 1856,
                                                        4443, 3682, 6851, 5870, 8177, 4703, 178, 5238, 4004,
                                                        2509, 4835, 892, 1739, 1971, 491, 2377, 1179, 2207,
                                                        3639, 7320, 6875, 206, 4602, 5975, 7287, 686, 3146,
                                                        4601, 3328, 5542, 6278, 5249, 3901, 4842, 2639,
                                                        6159, 46, 471, 2862, 379, 7629, 8023, 513, 7888,
                                                        1702
                                                    },
                                                    new[]
                                                    {
                                                        940, 2944, 5541, 7241, 5056, 8003, 1825, 1867, 1255,
                                                        3499, 678, 4703, 840, 7175, 7247, 2306, 1659, 5673,
                                                        1419, 230, 7874, 3470, 5209, 5457, 4271, 4717, 3328,
                                                        2951, 203, 2945, 3256, 2484, 7343, 8088, 5767, 849,
                                                        3148, 7944, 7441, 3432, 8117, 5795, 209, 6123, 341,
                                                        7253, 7232, 7136, 311, 1695, 7595, 5476, 186, 5887,
                                                        6246, 4946, 6100, 845, 5447, 6811, 5841, 5410, 4658,
                                                        6093, 145, 1927, 7611, 3252, 1685, 5142, 4259, 723,
                                                        3447, 4146, 7628, 4897, 5223, 6989, 2467, 1434,
                                                        2673, 16, 6671, 1285, 5910, 6427, 1159, 7591, 7086,
                                                        2771, 4528, 7429, 68, 6052, 1632, 2559, 7120, 7854,
                                                        5382, 617, 7675, 1865, 7778, 6440, 3751, 3592, 5772,
                                                        5543, 6893, 7999, 815, 6308, 2609, 7532, 284, 6914,
                                                        204, 6896, 5000, 1736, 2202, 2370, 7721, 8170, 2331,
                                                        91, 4550, 7268, 951, 8084, 5161, 3929, 4526, 101,
                                                        2059, 5653, 3100, 7311, 6128, 5852, 1726, 7494,
                                                        8097, 8132, 929, 4065, 6063, 7011, 6372, 10, 1821,
                                                        8185, 7750, 2258, 8065, 7115, 4328, 1955, 4205,
                                                        3007, 1642, 4955, 1496, 3643, 3347, 5358, 5315,
                                                        7666, 6416, 5205, 3387, 596, 1125, 3846, 831, 7934,
                                                        3645, 1235, 2003, 3878, 5774, 2141, 1093, 7082,
                                                        4760, 5357, 1891, 1989, 1138, 6808, 6894, 6505,
                                                        3368, 2115, 5293, 20, 6882, 2574, 4759, 5949, 4623,
                                                        2856, 2740, 4201, 3666, 5086, 896, 1085, 8190, 6189,
                                                        4380, 2042, 4609, 6413, 1657, 6274, 3267, 3739,
                                                        5602, 5113, 6137, 488, 6616, 1115, 2267, 799, 1239,
                                                        1531, 8089, 886, 4895, 1370, 7941, 673, 1674, 3141,
                                                        1922, 7425, 7497, 1500, 5062, 7235, 3931, 5446,
                                                        7723, 6501, 3549, 8175, 8028, 238, 2737, 4989, 6279,
                                                        2155, 3763
                                                    },
                                                    new[]
                                                    {
                                                        4598, 5973, 5612, 7872, 8078, 2727, 4825, 4815,
                                                        1122, 3010, 2585, 2458, 6818, 7429, 6348, 7103,
                                                        1295, 3830, 1742, 6540, 5911, 5318, 295, 4570, 5185,
                                                        5865, 7938, 4739, 5162, 5738, 4427, 6270, 1281,
                                                        6830, 1542, 7222, 2472, 4111, 3901, 8018, 7795,
                                                        2829, 864, 1596, 5820, 7484, 3662, 1167, 2655, 1193,
                                                        2410, 4609, 2589, 4913, 7764, 5402, 5442, 4264,
                                                        2374, 2638, 6483, 3335, 4210, 6586, 3240, 6542,
                                                        1989, 1606, 7343, 7866, 3801, 5309, 7823, 4472,
                                                        1123, 4089, 2548, 6820, 7419, 4461, 7221, 4241,
                                                        4356, 1044, 6797, 6475, 4537, 474, 3606, 6278, 2749,
                                                        3824, 4195, 1673, 7400, 7801, 1764, 7592, 20, 6310,
                                                        5223, 2287, 607, 4371, 5073, 5377, 7989, 5759, 2278,
                                                        4018, 5826, 842, 2533, 7552, 6805, 8036, 547, 3691,
                                                        7005, 305, 2958, 1445, 913, 3932, 1324, 6172, 487,
                                                        1140, 3487, 3785, 8029, 2052, 6402, 8005, 6753,
                                                        6938, 1506, 4588, 3489, 6243, 885, 7586, 4437, 57,
                                                        3068, 7293, 4066, 3994, 404, 4673, 7210, 7035, 133,
                                                        1341, 2411, 5659, 1561, 1148, 6214, 5666, 5827,
                                                        6995, 5298, 4349, 711, 1889, 6680, 6284, 7350, 6082,
                                                        2846, 6847, 4498, 7370, 7843, 1566, 5267, 3828,
                                                        2040, 2204, 6287, 6643, 6601, 2274, 106, 456, 3103,
                                                        112, 1642, 3172, 5712, 7079, 6498, 5931, 5535, 4577,
                                                        4991, 5651, 3976, 7885, 758, 6093, 2391, 1464, 270,
                                                        2744, 8180, 2507, 6982, 5629, 5810, 7260, 7508,
                                                        5158, 1446, 4945, 317, 2726, 5683, 469, 7653, 4646,
                                                        4244, 4507, 7900, 744, 5603, 4003, 7254, 1912, 7432,
                                                        3388, 5454, 1037, 2574, 2281, 592, 198, 7246, 7320,
                                                        3258, 7537, 8064, 5215, 7253, 4947, 879, 3468, 7049,
                                                        7654, 3044, 4443, 3384, 5745, 377
                                                    },
                                                    new[]
                                                    {
                                                        7117, 1013, 950, 7428, 1761, 6748, 2682, 8185, 5948,
                                                        5476, 5396, 1038, 6769, 942, 7491, 254, 5349, 2067,
                                                        2803, 7863, 2804, 5177, 1263, 5214, 2868, 7015,
                                                        4162, 825, 616, 2484, 1292, 5859, 2175, 4458, 2708,
                                                        737, 323, 8092, 5055, 4289, 6932, 7680, 2977, 4701,
                                                        5789, 5382, 6009, 707, 3655, 4997, 3488, 1746, 865,
                                                        5027, 5704, 3740, 6534, 3597, 2396, 6119, 5230,
                                                        2809, 4403, 3777, 5428, 2391, 5427, 5622, 7011,
                                                        4792, 8104, 1638, 4118, 7918, 5539, 5076, 3988,
                                                        4748, 5044, 5231, 5822, 853, 5308, 620, 5565, 4090,
                                                        152, 5066, 2167, 2791, 4325, 1885, 5065, 7551, 6651,
                                                        4032, 7817, 2646, 8007, 1262, 4738, 4844, 1615,
                                                        7133, 7758, 4428, 3441, 3071, 4874, 1909, 5545, 411,
                                                        2565, 1810, 4870, 3859, 507, 3251, 3228, 1674, 7249,
                                                        1717, 6198, 1087, 5755, 5830, 4983, 8106, 7746,
                                                        5594, 3119, 7571, 5886, 3178, 4927, 7175, 3387,
                                                        2141, 870, 5911, 3520, 7612, 1118, 5741, 7347, 1882,
                                                        2829, 6538, 6956, 6898, 3004, 4240, 4471, 3796,
                                                        2354, 2329, 3540, 1913, 7183, 7000, 302, 7040, 32,
                                                        592, 3358, 1834, 2523, 3328, 5274, 4816, 6069, 8148,
                                                        6928, 7549, 5447, 4549, 5795, 6736, 6197, 7931,
                                                        3085, 107, 5089, 18, 1651, 1445, 685, 2589, 4416,
                                                        1340, 7121, 59, 6773, 695, 1250, 2748, 5996, 1805,
                                                        2094, 3466, 80, 4245, 4375, 7541, 8085, 3561, 22,
                                                        6055, 7041, 1532, 4000, 6062, 1772, 2452, 1260,
                                                        6556, 6652, 6368, 3314, 3688, 4051, 6599, 5888,
                                                        2366, 3649, 4993, 6046, 4864, 6366, 2165, 4881,
                                                        5844, 5244, 3659, 3210, 4812, 5657, 6653, 568, 1478,
                                                        2101, 300, 2969, 5737, 2753, 3527, 3896, 2423, 1529,
                                                        793, 6184, 6110, 2132, 5254, 4837
                                                    },
                                                    new[]
                                                    {
                                                        6841, 4860, 5244, 4706, 3037, 2031, 2046, 2294, 382,
                                                        2270, 4661, 1835, 2878, 1939, 2859, 837, 912, 7628,
                                                        1892, 926, 3273, 2491, 6262, 3080, 5326, 8016, 7611,
                                                        6329, 856, 697, 3283, 3142, 6142, 2846, 1286, 6227,
                                                        3368, 4011, 7170, 1696, 4584, 1270, 6230, 2070,
                                                        7536, 8104, 1716, 6326, 5628, 755, 5823, 3677, 1430,
                                                        3172, 3122, 5147, 1515, 573, 4381, 7577, 2225, 3598,
                                                        4031, 2938, 2838, 1574, 8082, 2786, 3112, 6712,
                                                        1357, 773, 5251, 5091, 6907, 1268, 1948, 2137, 6985,
                                                        4419, 7, 5883, 5680, 2599, 2377, 5110, 95, 1199,
                                                        121, 5518, 4579, 7991, 7348, 1500, 6731, 3485, 7309,
                                                        2331, 4500, 2874, 3586, 756, 2492, 5051, 2355, 5106,
                                                        5678, 2051, 5668, 6641, 5675, 4044, 120, 216, 3011,
                                                        1322, 2871, 1296, 6004, 5489, 2803, 4596, 8177,
                                                        6031, 1814, 6463, 481, 7253, 2808, 1615, 2061, 3658,
                                                        6466, 4427, 3551, 4817, 4728, 3958, 3961, 6832, 754,
                                                        7317, 3744, 7707, 855, 6458, 8007, 6707, 4943, 6416,
                                                        7774, 3402, 731, 3632, 3915, 3461, 6178, 1147, 3553,
                                                        6718, 4765, 4429, 4016, 2370, 5455, 4222, 3752,
                                                        4991, 7146, 1862, 6803, 1728, 5548, 4218, 6435,
                                                        4422, 24, 2696, 1055, 4052, 4876, 5243, 6750, 7281,
                                                        5987, 3088, 3501, 2789, 1730, 7783, 2030, 3621,
                                                        2050, 1318, 5252, 1694, 2079, 1365, 5002, 7950,
                                                        2206, 6858, 4367, 4777, 2396, 5366, 503, 5174, 7579,
                                                        4055, 1504, 6899, 7415, 5460, 6612, 5200, 5926,
                                                        1681, 4251, 8161, 4935, 2566, 4406, 2342, 211, 7737,
                                                        7361, 3396, 4349, 1693, 410, 5015, 7436, 141, 7823,
                                                        4652, 577, 7523, 5194, 4091, 5433, 8014, 7884, 7268,
                                                        2390, 2668, 4503, 2632, 7674, 6510, 5995, 5058,
                                                        3906, 6403, 5327
                                                    },
                                                    new[]
                                                    {
                                                        3630, 8142, 6649, 8170, 300, 4729, 5693, 6280, 586,
                                                        7303, 2315, 5050, 2775, 1789, 4142, 2612, 6331, 584,
                                                        7467, 5850, 6430, 8007, 5564, 6090, 3726, 1621,
                                                        3575, 4016, 2487, 3797, 297, 1434, 7969, 4632, 5791,
                                                        2899, 5523, 1321, 2010, 5129, 7317, 2879, 7288,
                                                        6876, 5057, 3681, 1126, 6175, 2217, 2141, 2794,
                                                        2430, 1602, 2607, 6217, 5499, 5567, 7058, 1037,
                                                        3444, 6764, 7035, 5377, 4954, 1970, 1532, 2736,
                                                        5495, 758, 5805, 8082, 6923, 891, 3641, 3438, 1890,
                                                        5584, 6281, 5188, 4615, 3470, 332, 7633, 4934, 677,
                                                        695, 1443, 5152, 3246, 7364, 5520, 2929, 7620, 1711,
                                                        5709, 1556, 6908, 1454, 882, 7343, 2503, 3691, 8149,
                                                        1810, 459, 3713, 6999, 339, 669, 6574, 512, 6200,
                                                        6996, 4658, 811, 4949, 2172, 1614, 4761, 6259, 1431,
                                                        5098, 6751, 5302, 5045, 4782, 7721, 1779, 4378,
                                                        1093, 5770, 466, 3295, 7846, 4832, 4965, 3763, 6567,
                                                        6861, 5503, 346, 2269, 7246, 3332, 4403, 8191, 3336,
                                                        384, 2859, 7957, 4284, 4866, 2152, 1557, 7884, 3629,
                                                        6939, 6024, 6538, 5843, 7322, 5029, 5089, 6822,
                                                        1213, 7245, 7516, 96, 7570, 2791, 4759, 5713, 3260,
                                                        6984, 1684, 6290, 2419, 7678, 5973, 7875, 381, 4545,
                                                        5358, 48, 5894, 1066, 593, 1411, 2712, 2826, 7431,
                                                        6950, 4502, 7859, 687, 3528, 696, 4766, 5250, 6203,
                                                        4457, 6270, 7024, 1494, 6669, 3933, 5524, 5607,
                                                        6480, 2597, 151, 4423, 4282, 6140, 1283, 6103, 791,
                                                        5775, 4024, 6498, 4737, 6555, 838, 774, 4436, 7577,
                                                        7323, 2390, 2963, 654, 5514, 2212, 5529, 3949, 4735,
                                                        8141, 4806, 2467, 8187, 1633, 8162, 4227, 2365,
                                                        7867, 8174, 1424, 7669, 5488, 1135, 2616, 6113,
                                                        4009, 3925, 1109, 2830
                                                    },
                                                    new[]
                                                    {
                                                        3734, 1217, 5844, 1341, 621, 7460, 1739, 7864, 5604,
                                                        1433, 2368, 5344, 7977, 7282, 3043, 6841, 3676, 604,
                                                        5593, 594, 2804, 3022, 1037, 7243, 5185, 1799, 677,
                                                        6082, 3873, 191, 3194, 6458, 5699, 5629, 2399, 7375,
                                                        5354, 6848, 6163, 8043, 5394, 463, 4164, 6658, 8083,
                                                        4127, 7978, 2606, 2252, 4276, 1339, 7113, 602, 6768,
                                                        4915, 3601, 5234, 2749, 1368, 1211, 6877, 2006,
                                                        5565, 8099, 7895, 1537, 6204, 1685, 210, 4228, 6314,
                                                        324, 3639, 217, 6917, 1973, 7404, 1562, 6331, 6243,
                                                        3732, 8184, 7821, 377, 6028, 4191, 919, 3941, 3391,
                                                        1072, 7681, 7114, 6886, 5977, 5436, 7703, 6237,
                                                        7348, 6307, 3589, 2193, 3739, 2338, 3295, 2508,
                                                        1412, 6262, 6357, 6897, 6037, 6474, 1232, 515, 4445,
                                                        2063, 5207, 4969, 1669, 3292, 7571, 3525, 1460,
                                                        5302, 6173, 1977, 1105, 1547, 1581, 7814, 1302,
                                                        5855, 2000, 1743, 6078, 1040, 7777, 1097, 3505,
                                                        7521, 8020, 5017, 7217, 3323, 4601, 7139, 5925,
                                                        5105, 6151, 6394, 4436, 4099, 336, 5595, 979, 3294,
                                                        2469, 104, 4102, 675, 228, 8027, 486, 2599, 5458,
                                                        2629, 5253, 6205, 5033, 1134, 7048, 3026, 5328,
                                                        7722, 5261, 964, 1167, 7608, 5400, 2610, 7376, 4746,
                                                        7085, 2550, 159, 4058, 7234, 6379, 5389, 5111, 1299,
                                                        8183, 381, 6167, 4209, 5536, 3094, 2202, 1720, 1470,
                                                        6040, 2371, 2556, 4192, 286, 6031, 7559, 3144, 6234,
                                                        5908, 5438, 654, 157, 3537, 2080, 4064, 4882, 4049,
                                                        734, 3306, 2646, 1658, 1338, 7013, 1129, 7102, 4134,
                                                        3926, 5217, 1361, 1945, 187, 5236, 3511, 5553, 2263,
                                                        2289, 6656, 7269, 6880, 4639, 3553, 4112, 6084,
                                                        4611, 7810, 3051, 7240, 2266, 4602, 3668, 2151,
                                                        6930, 3661, 8006, 2747
                                                    },
                                                    new[]
                                                    {
                                                        1107, 887, 7836, 185, 5186, 1417, 5062, 1213, 5608,
                                                        718, 327, 7292, 4057, 7743, 7870, 5257, 4495, 6191,
                                                        6632, 4187, 1493, 2560, 7755, 1880, 3301, 7058, 838,
                                                        6522, 6326, 1014, 928, 1482, 4001, 7855, 2310, 1535,
                                                        1707, 1338, 1717, 540, 1651, 3791, 2596, 1217, 5137,
                                                        6094, 3129, 1261, 5252, 5502, 6041, 3934, 3075,
                                                        6084, 2834, 5843, 4590, 3249, 1309, 1938, 2701,
                                                        5902, 1, 2806, 4224, 71, 4814, 313, 101, 5008, 2184,
                                                        7163, 7100, 6896, 1679, 7624, 3752, 1324, 4815,
                                                        4768, 6501, 5997, 93, 5087, 5513, 3563, 2173, 3398,
                                                        6003, 506, 3413, 7745, 3310, 1026, 6505, 4610, 1820,
                                                        1572, 1633, 3836, 2692, 4525, 454, 3384, 4543, 7055,
                                                        4011, 1018, 6986, 7662, 6886, 1059, 1966, 335, 7280,
                                                        7212, 3204, 6644, 3644, 780, 6767, 914, 5137, 1458,
                                                        467, 7037, 1767, 7284, 7859, 539, 6793, 2988, 4366,
                                                        2777, 4096, 504, 3588, 178, 6512, 326, 3095, 2703,
                                                        6830, 2201, 604, 8130, 5250, 8106, 3312, 4053, 5084,
                                                        2462, 2910, 3949, 7233, 7140, 3542, 1630, 1771,
                                                        7401, 4283, 1217, 7250, 265, 5579, 8121, 6483, 5868,
                                                        2276, 5303, 3255, 4325, 7406, 4897, 1112, 1946,
                                                        5443, 7463, 2521, 950, 7639, 7923, 2940, 5882, 6054,
                                                        7527, 3744, 1152, 310, 2773, 3751, 3305, 6732, 7219,
                                                        6864, 1214, 4934, 3830, 7253, 4885, 1717, 1058,
                                                        5483, 6751, 255, 148, 7260, 2986, 1403, 2556, 6434,
                                                        5899, 3458, 1203, 3752, 1303, 894, 5424, 4688, 1337,
                                                        6644, 6046, 5987, 1869, 6676, 4415, 2466, 206, 5776,
                                                        1374, 5523, 6043, 4271, 4399, 3077, 6931, 3028, 866,
                                                        6178, 2523, 3424, 2158, 5506, 1505, 2071, 1360,
                                                        1271, 1631, 4678, 3887, 6883, 3019, 6785, 3288, 7375
                                                    },
                                                    new[]
                                                    {
                                                        6853, 4088, 3577, 4470, 6488, 6358, 4385, 1177,
                                                        3024, 5266, 2714, 4293, 1562, 4493, 3244, 852, 5590,
                                                        5084, 4985, 1433, 4828, 3499, 6087, 7250, 3317,
                                                        8066, 4949, 7741, 7501, 1530, 7522, 2545, 4413, 560,
                                                        1682, 8131, 2531, 5452, 7571, 4467, 1935, 3640,
                                                        5926, 2482, 5975, 7772, 5193, 4017, 2270, 7030,
                                                        2384, 3549, 2726, 3906, 4552, 6330, 5888, 7904,
                                                        6180, 3035, 2728, 3631, 4182, 2744, 3494, 1221,
                                                        1364, 3467, 5685, 3870, 3827, 4952, 1384, 8058, 877,
                                                        5324, 6885, 6930, 881, 3512, 63, 4615, 6308, 4898,
                                                        5992, 4261, 2541, 1178, 3473, 3644, 7544, 7586,
                                                        1254, 5276, 1769, 41, 3607, 3402, 7401, 6009, 1777,
                                                        1101, 7337, 7082, 3810, 3120, 7508, 4822, 7985,
                                                        5930, 3960, 5295, 1790, 2369, 6830, 2041, 2441,
                                                        4321, 1671, 7843, 7004, 3984, 7371, 6562, 4314,
                                                        2455, 2264, 3747, 7464, 6412, 938, 6648, 2854, 1033,
                                                        226, 2174, 6695, 2332, 4845, 4892, 2476, 3695, 1237,
                                                        7820, 707, 7558, 2814, 3072, 2130, 433, 587, 2121,
                                                        6783, 3642, 2295, 2128, 7490, 7363, 5802, 26, 5015,
                                                        1607, 3787, 6117, 3708, 1112, 3434, 1103, 1938,
                                                        2188, 3303, 2808, 6507, 3614, 1606, 7399, 5104, 618,
                                                        8024, 1399, 5026, 2017, 6989, 2483, 2700, 2960,
                                                        5295, 1936, 5976, 4016, 687, 5121, 4058, 188, 5161,
                                                        5897, 283, 7945, 2200, 898, 1994, 5974, 6725, 6172,
                                                        1856, 3059, 852, 6599, 2360, 3184, 5172, 6707, 1223,
                                                        7771, 4761, 5723, 109, 8131, 1425, 4525, 7525, 5670,
                                                        91, 3879, 5172, 5414, 3956, 6185, 6107, 403, 772,
                                                        6271, 3806, 3275, 5019, 4869, 2181, 6346, 7995,
                                                        4551, 3699, 7018, 5510, 1970, 3675, 954, 2494, 1455,
                                                        264, 1496, 5070, 4764, 2699, 1136, 3198
                                                    },
                                                    new[]
                                                    {
                                                        5701, 1950, 7485, 1091, 677, 3322, 6273, 5741, 4486,
                                                        7251, 7622, 2192, 469, 4306, 7053, 5132, 5871, 5044,
                                                        4377, 7474, 583, 7704, 1997, 5713, 5389, 290, 567,
                                                        6471, 5586, 3353, 6167, 1131, 4041, 4390, 5043,
                                                        2967, 6480, 4805, 5113, 1131, 7049, 4258, 4999, 184,
                                                        2542, 3174, 4586, 4406, 3294, 856, 388, 1415, 1978,
                                                        2580, 2727, 7569, 7142, 6468, 6028, 4223, 759, 8131,
                                                        2348, 6123, 1126, 3211, 724, 5235, 2751, 2778, 2182,
                                                        3685, 6709, 5187, 8063, 4690, 472, 7644, 2743, 1683,
                                                        2454, 953, 1802, 7537, 3536, 4648, 5023, 2516, 2964,
                                                        4208, 606, 2337, 2932, 3625, 837, 3068, 3234, 3109,
                                                        6667, 2068, 5046, 6507, 8118, 7558, 5487, 2028,
                                                        2119, 1558, 5541, 5473, 4836, 3796, 314, 8137, 3638,
                                                        4249, 1810, 2978, 1295, 4573, 3116, 6402, 2586, 728,
                                                        1722, 601, 7963, 3417, 3632, 3359, 5399, 8068, 6989,
                                                        691, 2830, 2801, 4218, 4130, 7794, 7129, 3914, 4239,
                                                        5517, 847, 6918, 2318, 5705, 2387, 1875, 6761, 2059,
                                                        6530, 6116, 4, 461, 229, 2213, 3947, 5173, 2881,
                                                        3615, 60, 7073, 2492, 1283, 3637, 7492, 6437, 5748,
                                                        7641, 2581, 1915, 3941, 2286, 7440, 3008, 6524, 436,
                                                        5222, 5537, 7095, 3517, 464, 1810, 7290, 1594, 492,
                                                        5052, 954, 1493, 1122, 4198, 2875, 1272, 3136, 47,
                                                        3952, 4838, 1562, 5412, 3447, 6826, 3614, 266, 5116,
                                                        2250, 4132, 2779, 3913, 1188, 6042, 29, 1862, 1838,
                                                        3599, 897, 6365, 4140, 405, 307, 6711, 6887, 6762,
                                                        879, 7102, 6467, 996, 1871, 7606, 341, 1228, 1362,
                                                        7961, 5760, 950, 4271, 5613, 1491, 662, 7378, 6202,
                                                        6640, 8189, 1287, 431, 4783, 7707, 7177, 556, 1387,
                                                        2676, 6773, 4508, 3102, 4612
                                                    },
                                                    new[]
                                                    {
                                                        4319, 5382, 868, 1315, 5499, 3071, 4902, 3788, 2244,
                                                        865, 3811, 3077, 6320, 4007, 2402, 4813, 3277, 6258,
                                                        1829, 4542, 4702, 3631, 1356, 3442, 3200, 1292,
                                                        5179, 108, 4914, 4399, 3137, 8113, 4509, 542, 646,
                                                        2095, 4042, 4404, 2009, 4255, 3338, 8032, 7269,
                                                        2669, 5418, 3025, 7173, 1883, 5259, 2602, 6534,
                                                        1034, 1509, 6104, 7930, 4972, 928, 6575, 4249, 2916,
                                                        4232, 5103, 5205, 3590, 7589, 1312, 5564, 4542,
                                                        6199, 3702, 523, 6177, 6017, 66, 4492, 3490, 500,
                                                        3213, 7724, 7129, 5422, 3593, 1104, 6636, 4422,
                                                        2384, 5210, 1284, 2030, 1748, 1149, 1110, 1601,
                                                        5447, 5098, 6878, 7071, 4692, 7075, 1601, 4544,
                                                        1438, 4143, 886, 5025, 3847, 4521, 2939, 2812, 4403,
                                                        2216, 6104, 7092, 3345, 7980, 3699, 8105, 672, 349,
                                                        4938, 4763, 1209, 236, 1756, 3663, 2574, 133, 5759,
                                                        777, 1204, 3838, 6348, 5836, 3945, 5220, 7448, 7717,
                                                        1786, 1926, 4490, 6759, 1243, 7441, 3311, 8088,
                                                        5733, 2389, 4382, 4798, 379, 4003, 5387, 661, 2428,
                                                        408, 524, 3978, 3090, 1635, 8111, 628, 2286, 5358,
                                                        8060, 1069, 5711, 7067, 4127, 5320, 5508, 962, 8137,
                                                        4223, 3199, 6492, 5051, 6493, 554, 508, 5266, 566,
                                                        625, 8131, 7370, 6220, 4165, 2600, 5856, 1688, 897,
                                                        7291, 6346, 7586, 4619, 2906, 2863, 7673, 104, 4530,
                                                        3632, 1172, 5368, 3291, 1257, 1211, 6776, 1360,
                                                        7336, 2247, 1246, 3070, 2640, 1420, 5709, 7661,
                                                        5611, 1569, 1756, 4483, 2271, 770, 6627, 5629, 2480,
                                                        5513, 2406, 6856, 1080, 8141, 5970, 4546, 1143,
                                                        1021, 2194, 4613, 6249, 7607, 2494, 8040, 1909,
                                                        2347, 5783, 7846, 8103, 305, 6428, 7334, 5489, 46,
                                                        3343, 4282, 1141, 1011, 8089, 5272
                                                    },
                                                    new[]
                                                    {
                                                        3074, 5154, 601, 6353, 1263, 61, 608, 2580, 7059,
                                                        7949, 4823, 286, 4432, 4218, 4126, 1730, 3582, 7872,
                                                        7621, 3901, 4618, 4663, 5884, 1550, 7720, 2527,
                                                        7352, 1975, 5080, 5207, 1277, 7680, 7723, 2303,
                                                        4322, 3845, 5786, 5440, 6931, 3340, 2160, 472, 6491,
                                                        4811, 1074, 2254, 7043, 5499, 4661, 1705, 5507,
                                                        5251, 4649, 868, 4049, 6679, 1644, 1401, 173, 6207,
                                                        4664, 5716, 3336, 4582, 6589, 6415, 1473, 7757,
                                                        5746, 7361, 4659, 1866, 6631, 4917, 1195, 7368,
                                                        6580, 6184, 6691, 823, 2979, 4538, 1303, 7442, 8063,
                                                        4922, 6022, 841, 6342, 1846, 7475, 6724, 6391, 4331,
                                                        5707, 762, 618, 4874, 120, 4144, 4412, 2988, 4227,
                                                        3172, 3684, 4486, 5262, 4705, 7966, 1775, 4452,
                                                        6978, 2363, 2220, 1981, 8082, 238, 7324, 6378, 6693,
                                                        5913, 2214, 5385, 7148, 1591, 4367, 284, 6575, 7783,
                                                        1130, 6203, 6154, 2392, 6585, 2090, 7654, 4372,
                                                        1439, 2548, 7595, 312, 1136, 3835, 1723, 8002, 1387,
                                                        662, 7913, 2050, 6705, 3863, 695, 5992, 6707, 1560,
                                                        2896, 4212, 6425, 7483, 4301, 4072, 500, 4055, 4160,
                                                        3305, 7162, 4374, 4116, 7307, 4831, 3992, 657, 5319,
                                                        6918, 7462, 2669, 4236, 8110, 112, 3301, 2408, 3356,
                                                        3125, 663, 7520, 6607, 4215, 3226, 4327, 5123, 4778,
                                                        3399, 4913, 523, 7549, 2135, 3831, 5421, 1199, 5445,
                                                        5107, 2541, 6649, 4488, 1025, 3464, 6478, 1659,
                                                        7299, 2273, 7044, 4047, 3034, 7504, 2084, 5032,
                                                        3279, 5466, 270, 1310, 6098, 7242, 5580, 958, 8167,
                                                        4491, 3344, 2588, 583, 5562, 782, 7151, 6870, 5978,
                                                        5846, 8014, 5122, 7470, 7343, 606, 5653, 5243, 4195,
                                                        6453, 3868, 2429, 2423, 5552, 4161, 6655, 5233,
                                                        1912, 965, 8152, 7065
                                                    },
                                                    new[]
                                                    {
                                                        5990, 2494, 5826, 5908, 6369, 3194, 3349, 6072,
                                                        1380, 1207, 6105, 894, 1342, 7289, 3418, 3375, 4812,
                                                        2192, 637, 735, 6802, 3102, 6497, 1509, 2039, 730,
                                                        4849, 6953, 3074, 6063, 913, 981, 3761, 1159, 5085,
                                                        7827, 6511, 2979, 3350, 1474, 339, 7730, 1201, 2682,
                                                        2987, 840, 3441, 4959, 7159, 1217, 4879, 7177, 2951,
                                                        7154, 1912, 4641, 5174, 5155, 4848, 1507, 2470,
                                                        3295, 1222, 7683, 1589, 6741, 4550, 5506, 3396,
                                                        2855, 6889, 2492, 6666, 3416, 2525, 6379, 8123,
                                                        2642, 1084, 5878, 3264, 1998, 2497, 1515, 6198,
                                                        6262, 5520, 3846, 6318, 5394, 267, 5130, 2317, 3503,
                                                        1821, 6571, 876, 2513, 7889, 5566, 171, 3329, 3177,
                                                        6132, 4560, 3827, 4618, 8079, 1825, 3110, 521, 1421,
                                                        4905, 4369, 1144, 4661, 8043, 6674, 5912, 1592,
                                                        4557, 2751, 6811, 4679, 3921, 3799, 597, 1890, 7989,
                                                        2782, 1005, 2799, 2575, 7893, 6343, 3929, 7265, 773,
                                                        4045, 4009, 1370, 7222, 745, 3649, 2135, 907, 711,
                                                        218, 427, 204, 5811, 7247, 2627, 868, 7601, 1965,
                                                        7151, 7166, 3776, 8015, 279, 4431, 1728, 8096, 8141,
                                                        1623, 1185, 4936, 7507, 3817, 8097, 7706, 5916,
                                                        3930, 4028, 4255, 7138, 7377, 1901, 1493, 904, 7650,
                                                        3328, 4006, 6929, 4993, 5312, 3253, 889, 7228, 2666,
                                                        344, 570, 7185, 3449, 684, 5681, 4851, 6313, 1006,
                                                        1542, 6483, 7795, 7217, 1244, 1990, 8109, 2690,
                                                        6900, 2201, 6872, 5847, 4283, 5729, 4774, 5374,
                                                        4852, 4107, 1148, 6310, 201, 2632, 1748, 5569, 6999,
                                                        5216, 7173, 2026, 6496, 5628, 4587, 4075, 6007,
                                                        1605, 2635, 4736, 3153, 4086, 998, 2281, 2028, 719,
                                                        1090, 8121, 5472, 3167, 6576, 2538, 694, 2297, 3743,
                                                        6651, 1132, 3857, 6461
                                                    },
                                                    new[]
                                                    {
                                                        7202, 2688, 3785, 6946, 402, 2224, 5776, 678, 786,
                                                        5274, 1577, 7884, 906, 1080, 3770, 4660, 3083, 6703,
                                                        3148, 1741, 5662, 712, 5504, 6203, 5648, 3467, 6420,
                                                        5429, 1484, 3313, 5268, 2744, 8038, 5661, 7909,
                                                        5466, 5463, 6685, 1340, 2400, 2918, 3719, 8179,
                                                        3511, 6691, 5699, 5152, 4, 1821, 7034, 4679, 7789,
                                                        1703, 5451, 76, 90, 448, 6348, 5805, 5056, 2934,
                                                        5967, 7258, 4632, 6278, 4244, 5897, 7778, 1034, 916,
                                                        2189, 4050, 1321, 1761, 6726, 6469, 4662, 6617,
                                                        3416, 2121, 40, 7443, 2049, 5996, 6144, 3228, 3996,
                                                        528, 869, 1050, 533, 1468, 3681, 929, 3153, 5566,
                                                        4717, 69, 4897, 1285, 1799, 4379, 6636, 6669, 3469,
                                                        499, 6398, 7559, 1567, 6755, 97, 4508, 4174, 4279,
                                                        7201, 4122, 5481, 6303, 3275, 2356, 5820, 1528,
                                                        5400, 5622, 1453, 3291, 72, 6919, 1887, 7717, 4007,
                                                        7054, 4827, 5077, 842, 995, 2282, 2126, 810, 3591,
                                                        4468, 961, 6977, 2279, 4872, 7097, 3502, 4747, 3168,
                                                        6196, 5701, 4800, 5540, 6793, 6145, 5948, 4091, 297,
                                                        3444, 65, 7647, 5482, 2580, 1342, 3030, 2566, 6620,
                                                        2775, 4967, 1798, 1533, 372, 8133, 7253, 2560, 6026,
                                                        2926, 4736, 6841, 4565, 7472, 5529, 3065, 3092,
                                                        7096, 6219, 248, 6010, 3165, 7511, 5496, 6932, 3372,
                                                        2209, 5480, 6293, 3203, 4914, 4937, 3464, 893, 4666,
                                                        3973, 2760, 7124, 7698, 6954, 4170, 6742, 2030,
                                                        7976, 3652, 7399, 3038, 3049, 2339, 6807, 6565,
                                                        2571, 1226, 2807, 4516, 2808, 1110, 971, 1668, 1223,
                                                        33, 4015, 2042, 552, 5636, 171, 6757, 6557, 8191,
                                                        4814, 5001, 998, 4184, 7632, 4598, 2034, 4152, 1706,
                                                        910, 5373, 2198, 7634, 1518, 4495, 4324, 5150, 1770,
                                                        6018
                                                    },
                                                    new[]
                                                    {
                                                        6339, 6674, 4099, 8065, 5641, 7151, 2248, 1445,
                                                        3907, 4887, 4146, 5126, 2363, 7366, 1871, 4177,
                                                        8124, 1860, 6000, 7535, 1676, 422, 3329, 1090, 5617,
                                                        6131, 6168, 3205, 6753, 6877, 7849, 5017, 7991,
                                                        3035, 3253, 4015, 7325, 6673, 5385, 3973, 1129,
                                                        3914, 476, 1619, 4479, 3219, 1119, 3115, 4995, 4753,
                                                        2797, 8071, 3570, 631, 6166, 2971, 3898, 132, 2951,
                                                        4158, 7683, 4939, 4203, 1654, 4165, 3438, 2816,
                                                        6103, 5794, 5346, 6761, 6345, 1816, 2161, 947, 2381,
                                                        7087, 5859, 3669, 7377, 4422, 403, 1824, 5646, 5379,
                                                        6336, 3022, 6391, 7156, 6921, 2226, 3471, 5133,
                                                        3775, 5508, 7678, 2121, 1170, 7304, 374, 7511, 8092,
                                                        6403, 5443, 1195, 5706, 6817, 5656, 2350, 5276,
                                                        3649, 1405, 419, 5060, 6908, 5512, 3139, 2609, 6434,
                                                        5930, 7225, 7927, 1984, 6640, 6355, 5546, 3305,
                                                        1391, 6572, 4598, 6517, 5284, 4781, 4423, 2026,
                                                        3725, 1044, 4676, 1785, 8025, 1696, 3965, 2962,
                                                        4666, 5254, 4010, 7142, 2843, 2502, 1878, 1017,
                                                        8080, 2016, 7825, 4617, 579, 5215, 5499, 7419, 2187,
                                                        6835, 6400, 6980, 765, 3309, 2580, 3261, 6830, 1981,
                                                        1198, 1196, 6713, 418, 3582, 4548, 8112, 4384, 2688,
                                                        6468, 2426, 3356, 2567, 507, 662, 2892, 3737, 5181,
                                                        6072, 7702, 5554, 6963, 4644, 1025, 767, 4996, 5495,
                                                        4336, 2291, 4296, 3440, 2917, 4596, 8145, 1399,
                                                        6687, 2984, 2547, 1692, 564, 2288, 4498, 1574, 5049,
                                                        167, 3338, 6394, 5445, 7334, 5467, 2158, 4836, 1963,
                                                        7550, 2202, 1882, 777, 2802, 7543, 2090, 1120, 4210,
                                                        2513, 5532, 572, 7081, 3184, 1680, 8122, 5132, 4317,
                                                        602, 2865, 5943, 2044, 6611, 815, 1883, 7716, 7305,
                                                        1111, 1592, 1051, 5869, 2455, 3976
                                                    },
                                                    new[]
                                                    {
                                                        61, 7948, 4226, 7979, 5493, 2911, 356, 2567, 6446,
                                                        6359, 6444, 4694, 6594, 1740, 4037, 5088, 2315,
                                                        1715, 6971, 1508, 5054, 6255, 4676, 781, 2382, 1539,
                                                        671, 1916, 4605, 1712, 4837, 7394, 254, 2769, 7928,
                                                        1309, 3128, 5165, 1151, 8013, 5879, 179, 3863, 2729,
                                                        1527, 6577, 571, 4927, 7776, 8024, 7573, 734, 6724,
                                                        994, 321, 3348, 5479, 2992, 6496, 1424, 5529, 7443,
                                                        491, 5963, 7881, 3051, 3701, 6286, 3589, 2257, 5349,
                                                        4440, 6418, 6419, 3644, 4798, 370, 637, 3844, 3392,
                                                        1787, 4278, 5039, 1054, 6610, 3151, 6206, 1117, 291,
                                                        4084, 2633, 3525, 1258, 7652, 4636, 7187, 3258,
                                                        7445, 2282, 5679, 3917, 848, 6474, 5025, 5986, 5594,
                                                        3739, 6242, 7489, 634, 2559, 5889, 2241, 7439, 741,
                                                        2057, 1148, 557, 6911, 7063, 3666, 5642, 2790, 520,
                                                        7975, 7243, 5063, 5547, 4525, 6954, 5526, 2860,
                                                        4764, 5589, 7992, 1757, 6056, 6431, 2541, 462, 1143,
                                                        5799, 7823, 6260, 5907, 1124, 1095, 4385, 5575,
                                                        6603, 6052, 6597, 1982, 3179, 233, 8022, 4442, 3451,
                                                        3557, 5669, 8079, 3657, 3029, 1819, 4225, 6350,
                                                        2162, 3085, 4828, 508, 6653, 7074, 1113, 2042, 3185,
                                                        3454, 6058, 3595, 2408, 1619, 7486, 7931, 6139,
                                                        2444, 2429, 3168, 3256, 4682, 3157, 7334, 1848,
                                                        7037, 2060, 5929, 4921, 31, 6451, 2656, 2696, 8067,
                                                        7852, 6493, 7008, 2354, 1313, 1912, 5818, 5610,
                                                        4338, 4543, 6625, 4425, 1641, 6630, 60, 6201, 630,
                                                        3972, 5848, 7661, 5966, 5866, 7007, 1948, 2107,
                                                        5689, 1465, 7850, 2240, 7807, 842, 2375, 4448, 4463,
                                                        7869, 367, 1064, 2704, 5397, 262, 5244, 5428, 4067,
                                                        5892, 787, 3234, 826, 1044, 5081, 1528, 7034, 3955,
                                                        3652, 6325, 1425
                                                    },
                                                    new[]
                                                    {
                                                        2155, 3529, 7818, 3740, 5426, 282, 7656, 672, 7107,
                                                        7314, 675, 6657, 1723, 7647, 7761, 6219, 3457, 5294,
                                                        7420, 7482, 2249, 5538, 1269, 7861, 1421, 7071,
                                                        7801, 3441, 1801, 7256, 5396, 130, 6572, 2826, 3177,
                                                        1357, 6605, 8069, 1841, 7740, 5979, 996, 1460, 4834,
                                                        7795, 4015, 3390, 7509, 2267, 3139, 4119, 6142,
                                                        6834, 2379, 4644, 5188, 1587, 7538, 4234, 3492, 758,
                                                        2558, 3657, 2484, 1188, 1516, 6547, 2565, 3103,
                                                        6800, 6025, 3083, 2660, 432, 2082, 6790, 3299, 2790,
                                                        5069, 861, 5731, 1224, 6743, 4147, 2269, 5055, 6999,
                                                        2381, 5280, 5185, 3427, 3173, 7286, 1961, 2605,
                                                        3533, 1539, 2161, 6116, 3190, 1423, 1969, 3746,
                                                        4177, 1809, 6965, 5425, 3130, 688, 6732, 7208, 8161,
                                                        228, 6111, 5631, 3690, 2146, 7518, 6187, 7565, 7058,
                                                        2104, 2866, 2676, 4094, 7577, 4498, 5151, 880, 6467,
                                                        3855, 1178, 6498, 7756, 6273, 3696, 4370, 813, 3590,
                                                        920, 5181, 6023, 2061, 7144, 2594, 7706, 4649, 6200,
                                                        711, 2334, 1425, 5360, 3163, 1220, 3736, 2385, 248,
                                                        7835, 6322, 205, 7510, 6726, 6268, 6406, 2670, 5184,
                                                        6069, 6728, 5564, 5372, 7036, 3086, 6899, 2352,
                                                        3431, 1114, 1034, 6460, 5217, 2261, 1833, 6808,
                                                        3010, 241, 477, 5251, 5926, 14, 5386, 2342, 6648,
                                                        780, 5851, 2025, 6489, 4664, 5549, 7745, 6248, 6237,
                                                        3302, 3194, 1261, 7031, 6283, 3752, 1866, 5448,
                                                        5513, 7465, 6130, 1518, 6890, 1815, 1416, 274, 703,
                                                        4203, 6244, 1708, 8149, 7184, 5652, 4539, 1532,
                                                        6866, 7834, 4702, 3215, 6963, 1145, 6179, 6062, 462,
                                                        1381, 5036, 7505, 3296, 2946, 4732, 6197, 5645,
                                                        2646, 5748, 4250, 4558, 2207, 1048, 7615, 5853,
                                                        3218, 6601, 4805, 645, 7257
                                                    },
                                                    new[]
                                                    {
                                                        1723, 1728, 2688, 4281, 6031, 7413, 294, 501, 1828,
                                                        4062, 3151, 2441, 750, 702, 1042, 1745, 4418, 4868,
                                                        5783, 7097, 377, 2291, 5129, 89, 7250, 5952, 1363,
                                                        2316, 2851, 4748, 8039, 487, 4794, 4959, 4027, 2715,
                                                        5130, 7365, 5132, 1495, 3503, 4782, 1764, 7597,
                                                        7646, 2508, 1580, 2575, 6876, 6957, 5831, 2075,
                                                        4124, 2689, 4725, 2912, 2570, 7023, 447, 2966, 5393,
                                                        916, 1705, 2717, 7706, 6065, 1811, 2269, 1739, 2782,
                                                        1593, 7348, 5018, 1172, 7653, 7972, 2285, 7876,
                                                        3001, 692, 7603, 7928, 4137, 5661, 7057, 3113, 3361,
                                                        7571, 5035, 4712, 4315, 5740, 7800, 299, 6596, 8143,
                                                        1623, 6416, 7549, 977, 311, 7520, 5760, 3759, 2473,
                                                        1072, 1202, 7161, 8062, 429, 6960, 786, 5821, 3795,
                                                        4261, 4354, 6731, 6337, 4906, 2520, 3633, 2834,
                                                        4013, 1118, 4359, 6378, 5085, 6937, 4842, 1207,
                                                        4429, 4463, 6103, 1975, 7607, 2401, 1859, 4989,
                                                        7622, 3508, 3307, 6884, 4820, 6702, 4836, 8037,
                                                        2453, 4598, 497, 3326, 4134, 795, 1774, 3774, 1854,
                                                        710, 555, 4650, 4284, 1553, 956, 2084, 7180, 547,
                                                        5105, 4864, 2741, 6932, 1640, 8031, 8021, 5959,
                                                        4975, 3294, 8078, 6262, 5803, 3428, 4775, 6456,
                                                        5818, 5403, 5682, 1928, 7198, 1032, 5450, 1149,
                                                        2836, 7074, 3719, 3534, 5315, 2648, 7593, 7089,
                                                        2308, 450, 7507, 3659, 4763, 877, 7495, 4200, 7297,
                                                        649, 6349, 1504, 2126, 5897, 5431, 3196, 2400, 3365,
                                                        3386, 2598, 7285, 2230, 2722, 764, 1291, 6205, 5496,
                                                        879, 6688, 6379, 4917, 1558, 3726, 5386, 4275, 2987,
                                                        1201, 5294, 7026, 7017, 4559, 3675, 4675, 3131, 282,
                                                        3474, 5097, 1630, 5330, 4724, 423, 7215, 3036, 5302,
                                                        5999, 2499, 5734, 5840, 2479
                                                    },
                                                    new[]
                                                    {
                                                        2146, 5666, 7960, 4632, 6918, 55, 226, 2482, 2665,
                                                        1216, 6790, 2553, 1213, 5325, 7042, 7699, 6784,
                                                        3380, 5135, 2427, 3040, 7723, 1694, 7580, 6580,
                                                        3509, 1387, 3178, 4773, 4172, 701, 1051, 7212, 429,
                                                        383, 7444, 6429, 6800, 867, 1103, 5015, 6883, 2404,
                                                        6807, 4593, 7343, 5246, 919, 8080, 7013, 5037, 620,
                                                        4178, 1281, 1510, 4712, 1220, 2949, 1071, 1948,
                                                        6304, 5957, 3344, 7290, 1625, 7076, 3857, 1239,
                                                        3339, 4456, 6745, 527, 3048, 7244, 4749, 4190, 5009,
                                                        7533, 5388, 65, 1744, 6121, 6556, 6973, 7038, 3582,
                                                        4350, 207, 3950, 3994, 7464, 5932, 8010, 2025, 3436,
                                                        4192, 3844, 7516, 8167, 3781, 5823, 3877, 3315, 688,
                                                        6837, 5657, 483, 1191, 717, 4099, 7246, 3595, 5210,
                                                        5018, 4978, 4693, 2609, 5438, 3186, 985, 2382, 1401,
                                                        647, 568, 6337, 1798, 5332, 7704, 3292, 3628, 6909,
                                                        4011, 5137, 2756, 2879, 3587, 1343, 5360, 2988,
                                                        5673, 1978, 272, 4014, 9, 7273, 1958, 7852, 3603,
                                                        740, 1623, 3310, 3548, 6673, 3992, 2042, 5623, 6236,
                                                        750, 5033, 6448, 6237, 5749, 6176, 400, 2428, 7353,
                                                        5422, 3322, 6611, 390, 260, 1707, 5439, 715, 6024,
                                                        6353, 4868, 5921, 6131, 5781, 4081, 8131, 413, 6835,
                                                        5148, 6639, 5488, 5250, 6250, 871, 3391, 6120, 3752,
                                                        8071, 7046, 3003, 58, 1973, 7726, 5272, 1915, 2416,
                                                        3932, 4641, 3900, 7044, 5852, 4701, 5260, 2301,
                                                        2947, 1746, 3372, 2084, 3102, 443, 6709, 6853, 7416,
                                                        1086, 4605, 4739, 2508, 2784, 837, 1904, 4183, 6001,
                                                        1601, 594, 6906, 2418, 6314, 7994, 1043, 5625, 4846,
                                                        5106, 6555, 6808, 5236, 6357, 6958, 7014, 1386,
                                                        3084, 320, 3523, 5196, 3377, 1194, 1647, 7586, 7276,
                                                        4344
                                                    },
                                                    new[]
                                                    {
                                                        4913, 836, 2771, 2688, 3034, 3200, 4351, 306, 1451,
                                                        204, 6573, 2402, 7282, 3314, 548, 1716, 806, 903,
                                                        7447, 1081, 6073, 3967, 5457, 7376, 4879, 32, 1559,
                                                        6838, 7414, 2508, 3264, 2554, 4449, 4606, 4278, 670,
                                                        7539, 5988, 4068, 3609, 1700, 4471, 3807, 2740,
                                                        3359, 7196, 4330, 6423, 5794, 5624, 1425, 4504,
                                                        6122, 7740, 5910, 1059, 2413, 2005, 8072, 566, 5025,
                                                        7706, 1272, 4011, 191, 4756, 6847, 6791, 6431, 4869,
                                                        1803, 7211, 6026, 3882, 236, 6107, 1824, 197, 7685,
                                                        896, 6203, 7164, 4121, 1932, 3907, 521, 4498, 3261,
                                                        1721, 3342, 1295, 223, 1898, 7391, 4258, 3193, 1137,
                                                        6942, 5016, 2781, 5298, 6058, 2564, 877, 4992, 7359,
                                                        6809, 1619, 7959, 5351, 3546, 2474, 2611, 3597, 320,
                                                        5438, 860, 23, 4549, 461, 1162, 7428, 6582, 3210,
                                                        1502, 2832, 5491, 8167, 7790, 6295, 4477, 4731,
                                                        5558, 7871, 1955, 2251, 4028, 3454, 3121, 7581,
                                                        3611, 7237, 2037, 6085, 5658, 2451, 86, 6815, 1393,
                                                        5591, 2589, 4059, 5270, 1646, 211, 390, 5539, 2657,
                                                        3716, 2204, 6705, 6459, 4203, 3515, 4870, 3591,
                                                        6315, 6622, 2871, 4735, 7975, 2916, 7897, 1812,
                                                        1512, 3560, 6197, 2349, 5541, 4088, 3714, 4415,
                                                        6695, 7389, 1131, 5131, 4198, 706, 7109, 5710, 5878,
                                                        717, 7290, 7722, 3764, 7291, 6784, 3525, 5672, 4613,
                                                        202, 2352, 5527, 3281, 5923, 8120, 3768, 702, 4397,
                                                        1773, 6278, 1072, 7806, 4540, 7502, 3736, 4209, 635,
                                                        2393, 2647, 2588, 1016, 323, 7417, 4219, 575, 7545,
                                                        5465, 6789, 5320, 7579, 5194, 7442, 1297, 2032,
                                                        4078, 673, 8005, 6228, 5500, 2386, 7221, 6698, 24,
                                                        1998, 597, 3722, 5696, 6623, 4727, 2780, 1033, 6869,
                                                        4867, 2833
                                                    },
                                                    new[]
                                                    {
                                                        4027, 3819, 3772, 6778, 5127, 7583, 155, 6780, 7422,
                                                        7155, 1333, 4662, 6391, 6138, 2088, 7682, 4017,
                                                        2155, 5520, 5677, 5581, 1599, 1790, 2084, 4396,
                                                        5032, 1395, 7696, 1061, 4585, 7039, 6676, 6443,
                                                        4591, 1596, 971, 5125, 3797, 3093, 7626, 2264, 7717,
                                                        7182, 350, 8052, 2421, 5568, 2720, 182, 3809, 8046,
                                                        3547, 7402, 1120, 1237, 5410, 4708, 4456, 6873,
                                                        6422, 5573, 6286, 1122, 4196, 1633, 2360, 7532,
                                                        1207, 2262, 4562, 427, 3425, 1257, 2299, 1486, 1411,
                                                        1075, 1175, 2486, 1874, 2206, 5756, 7744, 6959, 379,
                                                        1746, 3085, 3743, 1671, 1198, 3376, 5097, 4593,
                                                        1707, 3690, 3971, 7234, 6514, 6876, 4726, 1475,
                                                        1529, 5913, 5544, 6921, 1729, 5993, 6321, 346, 1563,
                                                        6899, 7042, 5415, 1494, 5930, 6307, 1021, 188, 5343,
                                                        3424, 5103, 4348, 7691, 3578, 3314, 5740, 7063,
                                                        6878, 8154, 4406, 1948, 5134, 501, 6688, 3206, 3193,
                                                        5223, 2851, 388, 4059, 5144, 5653, 3964, 4179, 6277,
                                                        2841, 7554, 3606, 3673, 5610, 2219, 4116, 7350,
                                                        6533, 337, 1579, 6072, 3687, 7695, 6118, 2632, 5755,
                                                        3107, 2093, 3963, 1545, 6319, 5072, 3749, 383, 1222,
                                                        240, 6488, 3498, 3770, 4432, 4744, 7992, 1869, 7576,
                                                        489, 22, 2236, 862, 7957, 1985, 4747, 7409, 290,
                                                        695, 7175, 4938, 3781, 2856, 4554, 2504, 746, 2127,
                                                        7173, 2098, 4416, 1194, 2635, 5403, 6845, 6208,
                                                        4277, 5191, 1610, 1627, 6897, 5170, 6706, 3187,
                                                        1246, 5799, 1403, 2548, 2521, 7850, 1028, 3718,
                                                        6420, 13, 3806, 2822, 2928, 537, 1867, 3109, 932,
                                                        1216, 6351, 366, 5946, 6329, 5362, 1023, 2989, 532,
                                                        3625, 8079, 4449, 1865, 7191, 6446, 891, 6819, 2883,
                                                        1218, 96, 5969, 5221, 625, 3426
                                                    },
                                                    new[]
                                                    {
                                                        800, 273, 4179, 3742, 8121, 815, 1596, 377, 3846,
                                                        6900, 413, 6991, 7318, 3541, 6669, 1184, 5808, 7544,
                                                        4039, 488, 1610, 5344, 4367, 5774, 4033, 2162, 687,
                                                        6005, 6070, 6177, 6501, 7595, 4991, 960, 785, 386,
                                                        3442, 6379, 6676, 1817, 6627, 3518, 2341, 2095,
                                                        7181, 223, 1634, 105, 3110, 4356, 3940, 4821, 5506,
                                                        7141, 2704, 3219, 5524, 3664, 7232, 7734, 5618,
                                                        1003, 5302, 1814, 4406, 6247, 7975, 5812, 7369,
                                                        7521, 6175, 4370, 3058, 2408, 3494, 7570, 5969,
                                                        6621, 514, 575, 3872, 415, 2756, 7408, 6613, 4056,
                                                        6780, 225, 1525, 3385, 3924, 5804, 2351, 5338, 3947,
                                                        7306, 889, 2575, 348, 1966, 5638, 7387, 609, 7396,
                                                        2277, 7161, 7638, 3739, 4118, 1632, 5067, 2937,
                                                        6981, 371, 4387, 4541, 6914, 7581, 5798, 1872, 7775,
                                                        6152, 4755, 7475, 5326, 1093, 1969, 2127, 4798,
                                                        5733, 5661, 1353, 469, 61, 4080, 7705, 3584, 6558,
                                                        7322, 1218, 2212, 4446, 2228, 5254, 8098, 7447,
                                                        2700, 3524, 2656, 2370, 4881, 574, 2393, 4005, 7175,
                                                        270, 1789, 5861, 6495, 4834, 4373, 4486, 3883, 4681,
                                                        7319, 8025, 490, 758, 1474, 1665, 6321, 1999, 6386,
                                                        2189, 2601, 132, 2247, 6500, 731, 303, 3469, 5660,
                                                        5637, 287, 351, 3986, 8020, 6680, 4751, 5990, 3383,
                                                        1270, 2986, 363, 163, 1956, 2004, 8009, 5674, 1696,
                                                        3273, 4332, 1637, 4349, 4079, 6130, 937, 3668, 5075,
                                                        4255, 3309, 6124, 3206, 6973, 7963, 2273, 1198, 25,
                                                        501, 6381, 3102, 6128, 5285, 7011, 1550, 4525, 2052,
                                                        6601, 4327, 5906, 2530, 8176, 5262, 127, 6845, 437,
                                                        1958, 1603, 2890, 5040, 2949, 2023, 1584, 5245,
                                                        7674, 6547, 2982, 6002, 176, 5963, 1476, 3416, 3709,
                                                        6711, 2334
                                                    },
                                                    new[]
                                                    {
                                                        4673, 757, 2047, 1313, 4917, 491, 2153, 6554, 1244,
                                                        870, 5762, 3165, 3267, 2697, 3330, 3744, 1716, 1935,
                                                        6377, 5229, 2753, 5222, 5683, 3395, 1056, 4884,
                                                        2967, 912, 6017, 7300, 7518, 1969, 5716, 5394, 1065,
                                                        736, 5867, 1959, 6736, 7565, 7577, 7741, 3667, 5775,
                                                        635, 7260, 857, 5405, 3894, 1606, 5943, 1720, 4344,
                                                        7066, 7446, 5406, 7042, 3750, 48, 1926, 6132, 6291,
                                                        2359, 5286, 3147, 4755, 4141, 7202, 350, 741, 374,
                                                        6189, 7755, 3762, 6748, 1508, 379, 5527, 7253, 4072,
                                                        3792, 2789, 3270, 2583, 2460, 6582, 697, 5011, 1326,
                                                        6823, 4561, 4935, 7602, 4941, 2193, 6209, 3542,
                                                        2874, 5533, 2398, 7383, 4700, 601, 2524, 7233, 3192,
                                                        7416, 3321, 8159, 5940, 7401, 5178, 1410, 3891,
                                                        1637, 1259, 2482, 1484, 2890, 5920, 5467, 7286, 589,
                                                        7284, 5407, 1308, 435, 6672, 2327, 1476, 3934, 3595,
                                                        3120, 5545, 490, 4674, 3051, 3493, 5121, 2356, 1075,
                                                        5673, 5381, 1838, 2903, 405, 1387, 3752, 2638, 6487,
                                                        7887, 6992, 5959, 6756, 6412, 1834, 5253, 1574,
                                                        7771, 5706, 4602, 1841, 743, 5817, 5315, 2882, 5475,
                                                        623, 578, 2649, 221, 3931, 1762, 2134, 8040, 728,
                                                        419, 3433, 4281, 2434, 5451, 573, 5460, 4230, 2195,
                                                        3026, 3526, 7076, 3935, 2555, 6271, 6434, 515, 159,
                                                        7302, 5003, 5269, 6486, 963, 3022, 3824, 1133, 3075,
                                                        493, 2465, 4017, 5724, 7585, 3907, 3816, 1348, 6611,
                                                        52, 77, 2090, 7384, 2237, 3809, 7231, 5354, 403,
                                                        7157, 6320, 5190, 2409, 2738, 5506, 5950, 4108,
                                                        6268, 5767, 5053, 1425, 7911, 4200, 2817, 2015,
                                                        6513, 5091, 3336, 1128, 2505, 5021, 4011, 4078,
                                                        4456, 4446, 3097, 1843, 2083, 5770, 1524, 795, 4868,
                                                        2137
                                                    },
                                                    new[]
                                                    {
                                                        6978, 6250, 5277, 7230, 4371, 1046, 7844, 1748,
                                                        6650, 5979, 5027, 5046, 6217, 2548, 1617, 6323,
                                                        3100, 47, 6482, 6406, 1419, 1774, 6550, 2293, 5968,
                                                        3225, 7047, 628, 1976, 2859, 6951, 5529, 2914, 5096,
                                                        6742, 1865, 1974, 1998, 2224, 5467, 3004, 5007,
                                                        1112, 1036, 314, 3067, 3049, 7318, 235, 2666, 8040,
                                                        2621, 7006, 7405, 4271, 6487, 1378, 4911, 7519, 604,
                                                        1514, 1368, 7514, 301, 1084, 6661, 7476, 2517, 7430,
                                                        7323, 3598, 7020, 6147, 1613, 2786, 7829, 4903,
                                                        2807, 5886, 5714, 5838, 7016, 1776, 6670, 1210,
                                                        1149, 2062, 4741, 6207, 4428, 5393, 6122, 6284,
                                                        3662, 7670, 8113, 3055, 6752, 6178, 534, 6723, 2241,
                                                        860, 4434, 5174, 6306, 8108, 4611, 4832, 7004, 6818,
                                                        2049, 2191, 6038, 2869, 6045, 431, 5471, 7974, 5490,
                                                        2107, 7914, 7153, 4384, 6480, 5624, 6117, 5476,
                                                        3668, 2043, 1, 4702, 6176, 6871, 1468, 1993, 4508,
                                                        6266, 5214, 663, 1628, 4966, 3510, 2350, 5912, 3077,
                                                        7697, 7390, 7685, 1440, 6964, 2469, 2326, 1792,
                                                        1108, 6354, 6460, 3725, 3557, 4273, 3384, 376, 3150,
                                                        5743, 5830, 7525, 1340, 5323, 6930, 2682, 5298,
                                                        4406, 1461, 2963, 8042, 6386, 5868, 5098, 4246,
                                                        4129, 2834, 2891, 201, 6637, 5137, 2810, 4355, 2983,
                                                        6116, 2113, 3719, 7581, 3223, 3234, 6773, 5875, 952,
                                                        5005, 7698, 1952, 6790, 4214, 7352, 5113, 131, 2762,
                                                        1850, 6997, 1267, 6685, 485, 5074, 4374, 5565, 907,
                                                        4112, 1999, 1013, 6677, 5218, 4867, 2835, 2783,
                                                        3183, 3309, 4601, 6854, 3521, 7158, 1538, 4898,
                                                        5991, 7186, 6497, 3530, 4034, 976, 6903, 4774, 3561,
                                                        6769, 4701, 832, 1703, 6736, 380, 415, 5133, 7737,
                                                        7981, 2000, 3901, 59, 5877, 2484
                                                    },
                                                    new[]
                                                    {
                                                        3490, 2582, 2599, 6139, 185, 6916, 915, 6236, 4742,
                                                        1543, 5460, 4354, 5166, 6547, 6210, 3759, 1270,
                                                        4251, 6505, 7101, 5124, 883, 1462, 6808, 6797, 3211,
                                                        6892, 5939, 6372, 3375, 5735, 7908, 7634, 4461,
                                                        1773, 4785, 7648, 1698, 191, 5854, 913, 8058, 7913,
                                                        5950, 2605, 409, 7525, 7289, 7600, 1914, 4279, 6554,
                                                        2711, 1041, 6613, 538, 8044, 5926, 3901, 115, 2735,
                                                        5534, 5970, 820, 4371, 4425, 7594, 2948, 5410, 4108,
                                                        3762, 5865, 5170, 905, 5915, 2798, 1737, 5409, 3606,
                                                        3984, 3649, 6867, 5467, 5287, 6859, 7685, 6920, 885,
                                                        6656, 8135, 3778, 2784, 2730, 5304, 6329, 2080,
                                                        6661, 4988, 3669, 1052, 7589, 3951, 1743, 98, 3257,
                                                        1357, 1368, 5511, 4208, 50, 320, 6900, 5266, 6833,
                                                        1247, 5127, 6708, 5098, 7887, 7690, 5768, 2290,
                                                        3109, 4829, 3905, 6308, 2404, 2146, 7135, 3597,
                                                        3926, 5805, 4691, 6336, 4824, 5094, 7964, 1370,
                                                        1910, 3765, 2668, 5105, 2679, 8012, 6434, 6089,
                                                        6956, 7952, 502, 5919, 4787, 3657, 6084, 3572, 187,
                                                        7979, 2614, 5102, 3039, 5395, 4078, 6454, 7391,
                                                        6519, 2557, 2199, 1754, 5354, 297, 2236, 1956, 1309,
                                                        974, 1468, 2651, 5026, 6569, 6848, 5977, 2595, 3484,
                                                        4725, 3504, 1609, 3177, 925, 381, 5999, 3410, 253,
                                                        7674, 1929, 1208, 3819, 5876, 5842, 778, 7878, 552,
                                                        5529, 4839, 6529, 7257, 877, 2352, 1349, 1196, 1144,
                                                        270, 6285, 6499, 6836, 8176, 5056, 477, 2873, 4975,
                                                        1752, 1101, 4253, 2314, 7722, 712, 520, 4030, 4394,
                                                        7638, 4610, 7453, 4869, 2453, 8023, 3708, 1221,
                                                        2552, 2417, 5370, 6751, 1622, 4655, 4706, 4249, 965,
                                                        4374, 6764, 2137, 2095, 402, 6306, 6638, 6849, 3280,
                                                        6872, 471, 1126
                                                    },
                                                    new[]
                                                    {
                                                        290, 5335, 1575, 3416, 545, 4214, 6177, 7850, 581,
                                                        7390, 5099, 7331, 3769, 3070, 5227, 2657, 1317,
                                                        5583, 6642, 6659, 2666, 3291, 4056, 6296, 5365, 98,
                                                        3224, 4167, 4277, 2397, 7456, 4174, 7586, 4900,
                                                        5862, 5145, 7766, 1905, 5497, 2410, 6407, 249, 2670,
                                                        3258, 3068, 7669, 4408, 4631, 1728, 2420, 6506,
                                                        3474, 5115, 2892, 5529, 2740, 464, 2837, 3133, 6910,
                                                        5416, 5906, 4461, 7846, 4275, 5637, 4583, 7823,
                                                        2271, 2579, 5509, 4297, 3281, 6876, 7042, 7925,
                                                        2078, 3433, 4074, 2628, 2953, 6493, 4941, 4722,
                                                        1124, 6348, 1065, 7483, 4041, 3994, 5847, 3485,
                                                        6328, 1073, 6644, 7545, 189, 7667, 6976, 202, 308,
                                                        5924, 4866, 1176, 7956, 5756, 2164, 3398, 1460,
                                                        4042, 3004, 5104, 396, 2817, 7092, 6347, 5300, 1112,
                                                        6582, 7600, 6672, 2089, 5097, 4964, 7467, 2633,
                                                        3151, 719, 3117, 1793, 2116, 2885, 4731, 5716, 4370,
                                                        7873, 157, 8098, 135, 2492, 2237, 4140, 5341, 1091,
                                                        3700, 3086, 2631, 4787, 5355, 5359, 3439, 6243,
                                                        6168, 762, 3342, 1225, 1477, 3672, 5223, 7213, 2838,
                                                        7682, 6978, 655, 5013, 4421, 6180, 7954, 7128, 1614,
                                                        8183, 4948, 4703, 5129, 7147, 4979, 6175, 7862,
                                                        4711, 721, 2100, 26, 53, 3009, 3771, 7200, 2153,
                                                        5679, 6992, 7471, 1475, 8171, 3711, 6862, 4700,
                                                        2595, 4492, 548, 5696, 4101, 4468, 5171, 4027, 1355,
                                                        3156, 2273, 7000, 3259, 2736, 892, 2107, 8033, 1891,
                                                        956, 1261, 2013, 7519, 7118, 3610, 504, 211, 3604,
                                                        3005, 5638, 5333, 3708, 5307, 565, 3917, 6434, 3000,
                                                        3535, 7655, 6031, 5957, 4007, 7958, 6969, 2553,
                                                        8021, 5964, 6151, 1296, 7231, 2650, 1531, 5096,
                                                        2604, 7772, 1006, 7926, 4636, 1858, 3368, 1974
                                                    },
                                                    new[]
                                                    {
                                                        1246, 3856, 299, 5532, 7114, 7684, 1175, 1161, 5685,
                                                        2766, 6183, 7349, 2165, 5824, 6610, 4091, 6249, 858,
                                                        1884, 6207, 6925, 3170, 2910, 1326, 7533, 261, 3793,
                                                        4459, 2797, 6461, 1859, 7634, 761, 2757, 4372, 1029,
                                                        2294, 5720, 1129, 1007, 3284, 4576, 740, 1417, 1204,
                                                        6678, 4213, 6639, 3281, 3814, 612, 7853, 1329, 6830,
                                                        338, 808, 2399, 5237, 385, 164, 3133, 2425, 157, 89,
                                                        5861, 6593, 2658, 4011, 5230, 1205, 3575, 6805,
                                                        1397, 4996, 3055, 6526, 5180, 3099, 1560, 5145,
                                                        5025, 6654, 645, 7859, 7456, 3510, 3103, 8061, 4839,
                                                        3888, 5536, 3868, 3267, 6887, 5044, 4016, 570, 426,
                                                        4306, 1645, 1792, 5433, 7358, 2458, 6371, 7229,
                                                        4381, 7056, 93, 7787, 6093, 6073, 7828, 7345, 601,
                                                        283, 6088, 6235, 5956, 4889, 7278, 4407, 1384, 1798,
                                                        2635, 335, 7436, 4821, 5153, 5304, 6757, 6502, 7939,
                                                        779, 6563, 6858, 5096, 321, 5442, 3233, 2083, 3884,
                                                        623, 535, 5467, 4598, 1791, 1576, 1978, 2538, 1465,
                                                        7718, 572, 5543, 3369, 1663, 6756, 7501, 677, 3546,
                                                        3120, 6665, 666, 6612, 6510, 3361, 3435, 4107, 3813,
                                                        1872, 4276, 6076, 2820, 3430, 5903, 3248, 1221,
                                                        7951, 4299, 3987, 4551, 4329, 975, 2331, 5510, 4728,
                                                        1774, 4718, 4116, 953, 3979, 2231, 4028, 1888, 7318,
                                                        5529, 312, 2656, 4670, 3924, 4268, 3672, 218, 5811,
                                                        5848, 1486, 3383, 6862, 1531, 5201, 1021, 7818,
                                                        8021, 4247, 5169, 8015, 4659, 2714, 3734, 7802,
                                                        7960, 1927, 5900, 4063, 7926, 2597, 7443, 4814,
                                                        5563, 353, 3239, 3639, 7157, 1290, 7457, 5298, 2019,
                                                        6363, 4054, 4623, 7342, 8158, 243, 2114, 4197, 2829,
                                                        4020, 5791, 1776, 3189, 2174, 7097, 3896, 5575, 7659
                                                    },
                                                    new[]
                                                    {
                                                        8169, 7940, 5536, 8152, 2868, 5490, 5667, 7821, 570,
                                                        7721, 4529, 8175, 731, 5295, 37, 6282, 572, 3776,
                                                        3162, 3843, 1633, 2304, 4044, 2560, 6647, 5498,
                                                        2733, 7107, 2739, 330, 3649, 4937, 6464, 6095, 2187,
                                                        5195, 6862, 4370, 461, 3993, 8120, 2378, 3975, 407,
                                                        122, 4370, 2226, 2169, 257, 3100, 518, 3115, 1004,
                                                        704, 844, 5911, 7772, 3610, 7745, 5450, 5831, 1494,
                                                        7210, 5848, 4585, 7029, 1534, 7755, 3206, 2365,
                                                        1211, 6182, 2889, 5235, 7918, 2508, 3425, 1996,
                                                        6853, 1584, 6640, 1150, 457, 2126, 3308, 3884, 3382,
                                                        6770, 5395, 8157, 4212, 2721, 3789, 212, 2332, 4712,
                                                        2917, 3095, 6198, 2996, 1875, 3487, 500, 486, 6699,
                                                        4564, 8001, 3400, 1847, 3967, 2077, 7333, 5975,
                                                        3535, 1672, 4710, 5213, 7402, 6819, 3049, 5174,
                                                        4558, 7480, 400, 6654, 8098, 6737, 4041, 1819, 2178,
                                                        7961, 3521, 1836, 2006, 1851, 1996, 3043, 1396,
                                                        4728, 880, 939, 576, 7785, 137, 992, 1717, 5378,
                                                        3956, 3421, 1434, 3013, 4233, 102, 684, 4998, 3197,
                                                        2489, 7298, 7936, 2210, 2878, 2199, 3218, 2449,
                                                        2587, 7559, 358, 5674, 635, 7064, 516, 5630, 1090,
                                                        7394, 1140, 6196, 1866, 6879, 6912, 3099, 6708,
                                                        5191, 7998, 2387, 5218, 4487, 1283, 910, 5227, 3981,
                                                        6808, 7004, 319, 1467, 2621, 5647, 6941, 2099, 2122,
                                                        1827, 1952, 5509, 5166, 4341, 2077, 2292, 6444, 764,
                                                        6928, 364, 7386, 456, 7690, 5572, 1067, 3810, 5495,
                                                        3281, 2205, 405, 6319, 7839, 157, 1978, 1056, 4663,
                                                        7979, 166, 918, 2786, 4984, 4111, 2646, 5298, 6953,
                                                        7775, 429, 2878, 5789, 3951, 3838, 1614, 1192, 8062,
                                                        4683, 183, 3411, 7967, 6751, 6545, 246, 7822, 6429,
                                                        486, 5216
                                                    },
                                                    new[]
                                                    {
                                                        786, 399, 3775, 1297, 5266, 1664, 3330, 5933, 6074,
                                                        2457, 1677, 8053, 8164, 2356, 744, 7145, 2498, 226,
                                                        2556, 4956, 3779, 3881, 374, 5995, 122, 7717, 1999,
                                                        6438, 5456, 7485, 4239, 3056, 7801, 6300, 4243, 235,
                                                        3865, 1728, 7362, 5915, 1184, 7591, 6071, 573, 670,
                                                        7464, 7377, 3112, 2899, 913, 1470, 1664, 6399, 3303,
                                                        5902, 6734, 7649, 6838, 4131, 4916, 8061, 7206,
                                                        3608, 2541, 5342, 7536, 4848, 2519, 2353, 3827,
                                                        4085, 2114, 2645, 6261, 2686, 6307, 3695, 7425,
                                                        5902, 3525, 3737, 2893, 1126, 462, 6843, 4250, 2287,
                                                        5406, 3535, 6580, 6551, 372, 1227, 242, 2748, 5366,
                                                        6555, 484, 5357, 2132, 3612, 2474, 6605, 885, 4159,
                                                        399, 4898, 1029, 5906, 5294, 4397, 3819, 4377, 5431,
                                                        4829, 6220, 6923, 553, 6441, 6552, 3625, 4472, 2242,
                                                        353, 7288, 1858, 6370, 4666, 8139, 6844, 3791, 981,
                                                        4175, 1355, 7333, 7987, 745, 5093, 4508, 7363, 1813,
                                                        7728, 1544, 1607, 7804, 5985, 3549, 999, 2848, 2820,
                                                        5363, 2502, 2316, 2869, 1853, 3956, 7363, 7137,
                                                        3225, 7388, 4192, 2458, 326, 662, 1027, 3189, 2532,
                                                        5975, 718, 6716, 945, 6371, 6645, 1624, 318, 4647,
                                                        2543, 5111, 3730, 590, 3309, 3093, 4594, 6032, 2555,
                                                        1078, 1184, 5239, 4790, 2952, 7976, 2424, 6489,
                                                        2699, 5609, 3964, 2100, 7675, 2699, 2090, 8082,
                                                        7025, 636, 4590, 1576, 7803, 4118, 2498, 2105, 4246,
                                                        6096, 4281, 4817, 7059, 580, 5520, 5103, 5990, 2976,
                                                        967, 1230, 5977, 6373, 4781, 141, 2126, 7722, 7218,
                                                        4845, 7341, 6141, 6996, 6081, 3641, 590, 2303, 7516,
                                                        7354, 5261, 2796, 3004, 5881, 1670, 6997, 6974,
                                                        7683, 4772, 7516, 2772, 7653, 6132, 7641, 7376,
                                                        5142, 6476
                                                    },
                                                    new[]
                                                    {
                                                        7848, 6326, 7105, 6845, 7022, 5879, 4848, 1692,
                                                        4127, 2382, 4732, 6900, 3861, 5576, 3094, 4694,
                                                        1698, 1214, 6830, 5425, 6684, 4256, 5150, 954, 6245,
                                                        6612, 5332, 1864, 3448, 2532, 2106, 2821, 8031,
                                                        2646, 7004, 7419, 6993, 1712, 5340, 1218, 5351,
                                                        2724, 226, 4520, 7488, 6020, 4437, 5426, 4439, 4934,
                                                        6496, 372, 7873, 6029, 7583, 1815, 142, 244, 1726,
                                                        598, 648, 6210, 6148, 6237, 3182, 8066, 2531, 1872,
                                                        1199, 7893, 8095, 742, 6737, 3443, 5659, 4212, 8006,
                                                        5218, 5839, 2402, 7933, 6039, 2372, 377, 5302, 4544,
                                                        7134, 7267, 4245, 1777, 2311, 7773, 5930, 5931,
                                                        6457, 4519, 314, 4441, 2754, 7499, 139, 1738, 4654,
                                                        6842, 7469, 1445, 739, 4771, 5500, 7761, 2442, 1401,
                                                        796, 7551, 3409, 5343, 5621, 5166, 2042, 7007, 1249,
                                                        5785, 4160, 581, 5095, 1622, 5464, 5396, 5241, 7852,
                                                        2181, 6026, 1242, 6168, 5091, 1385, 483, 1877, 412,
                                                        1060, 2281, 6205, 4508, 3470, 5266, 97, 1489, 1095,
                                                        5962, 1318, 4761, 327, 821, 7934, 7869, 7315, 4419,
                                                        7777, 3495, 4710, 2823, 6756, 3294, 1796, 616, 6008,
                                                        7341, 1086, 6861, 1606, 1825, 640, 2208, 4624, 1558,
                                                        735, 1933, 1028, 1842, 4454, 3843, 6869, 5367, 122,
                                                        951, 6267, 7478, 6003, 2387, 6017, 4898, 1085, 7138,
                                                        2369, 1695, 5925, 7492, 3278, 5141, 5281, 3773,
                                                        4999, 3060, 6162, 6364, 6715, 13, 8185, 7371, 2722,
                                                        5080, 791, 5388, 887, 4067, 1579, 336, 381, 2643,
                                                        7363, 5675, 1238, 7268, 6515, 5722, 561, 7124, 5248,
                                                        4656, 3912, 3655, 185, 1899, 3342, 2446, 4331, 7177,
                                                        6736, 7097, 7175, 6717, 5704, 2773, 2091, 7966,
                                                        5217, 2900, 7901, 7638, 5542, 8038, 7936, 6154,
                                                        3869, 639
                                                    },
                                                    new[]
                                                    {
                                                        7907, 2509, 4822, 5860, 7997, 5257, 1398, 4390,
                                                        5779, 7272, 763, 7908, 39, 6410, 42, 6904, 2643,
                                                        4285, 5409, 2018, 3306, 7913, 918, 1903, 3144, 6160,
                                                        2608, 2857, 1525, 1944, 6251, 3994, 730, 4641, 7847,
                                                        7804, 426, 7821, 4144, 3556, 8028, 4310, 7481, 7254,
                                                        1411, 5412, 863, 4778, 1712, 1987, 8148, 2554, 931,
                                                        2329, 7413, 1087, 4145, 7931, 7336, 1707, 2724,
                                                        7349, 5881, 5656, 924, 254, 3436, 1707, 2100, 3162,
                                                        7077, 2844, 7269, 7764, 4080, 3934, 2895, 6097,
                                                        2149, 6484, 7734, 3535, 7194, 4460, 3331, 4781,
                                                        6977, 7437, 3930, 5124, 4355, 4016, 2895, 3100,
                                                        3082, 5997, 5911, 7909, 2264, 876, 4909, 2514, 3712,
                                                        7586, 6701, 6552, 6295, 2534, 7926, 5194, 5168,
                                                        3437, 6045, 2840, 3870, 3395, 3288, 4849, 6495,
                                                        5136, 3986, 7429, 2465, 8, 4155, 4688, 7206, 5202,
                                                        4786, 5172, 3379, 383, 6234, 284, 1882, 7643, 5366,
                                                        298, 2166, 6835, 3384, 345, 6240, 2230, 625, 2472,
                                                        6603, 1334, 4197, 2865, 7789, 2116, 5319, 1556, 957,
                                                        2116, 4218, 5308, 1932, 6143, 3720, 4222, 4552, 319,
                                                        867, 3196, 3539, 2353, 7235, 7096, 3276, 3228, 298,
                                                        4736, 3290, 2279, 4842, 43, 3165, 3466, 4992, 6819,
                                                        4618, 1702, 811, 3252, 5472, 4771, 7958, 4032, 3265,
                                                        2780, 4659, 51, 3492, 4769, 5062, 2433, 4358, 6522,
                                                        1351, 3558, 7065, 692, 2484, 1138, 6225, 1471, 4535,
                                                        3517, 114, 2460, 7817, 894, 4183, 1832, 636, 4672,
                                                        7145, 53, 5180, 81, 6793, 3612, 344, 1518, 7706,
                                                        3986, 2598, 4175, 1228, 4952, 6123, 1058, 2229,
                                                        4101, 764, 163, 4557, 1632, 3736, 278, 3823, 211,
                                                        3141, 3873, 2721, 5069, 6049, 1702, 319, 5014, 3929,
                                                        8143, 109
                                                    },
                                                    new[]
                                                    {
                                                        6061, 3221, 4338, 4590, 2833, 143, 6721, 187, 7375,
                                                        3101, 3543, 5724, 134, 8171, 7150, 6251, 533, 2107,
                                                        7993, 2026, 4274, 6262, 5885, 5933, 3352, 7412, 627,
                                                        67, 7799, 1082, 7960, 5688, 3960, 582, 5035, 2109,
                                                        4547, 7985, 4268, 7054, 5196, 3519, 4893, 6192,
                                                        3460, 2418, 97, 4822, 6551, 5802, 6599, 5481, 5884,
                                                        4600, 3034, 4169, 4169, 6063, 3727, 5307, 5116,
                                                        2631, 41, 2434, 6280, 5143, 3923, 59, 6614, 7592,
                                                        6424, 8053, 1726, 4892, 2366, 6016, 2592, 525, 821,
                                                        5864, 434, 1379, 3854, 5869, 4367, 6985, 6043, 4511,
                                                        7566, 5315, 1344, 1631, 6690, 3024, 747, 1315, 2136,
                                                        4750, 7083, 3362, 4757, 202, 5111, 233, 1016, 5938,
                                                        6114, 3207, 5177, 3882, 6741, 6407, 1377, 7314, 603,
                                                        7569, 7535, 6001, 7223, 7020, 6913, 4387, 664, 5432,
                                                        2998, 620, 4561, 435, 5592, 5271, 1303, 3984, 1876,
                                                        2739, 7292, 875, 2932, 5530, 4602, 1773, 3424, 4022,
                                                        2680, 1628, 7632, 6548, 5222, 2961, 2128, 3935,
                                                        2049, 4287, 941, 2013, 6297, 7237, 1134, 5896, 1736,
                                                        6303, 2406, 7093, 3581, 7831, 7001, 4224, 6703,
                                                        3021, 5931, 5462, 5424, 2916, 6748, 7323, 1577,
                                                        6324, 2606, 4456, 327, 3573, 779, 1430, 7892, 2312,
                                                        7987, 1343, 2058, 4992, 4250, 883, 325, 6942, 6211,
                                                        7374, 2051, 7080, 3737, 2037, 7570, 2287, 150, 5840,
                                                        6496, 3623, 7900, 7880, 7961, 0, 1256, 1409, 793,
                                                        3379, 7048, 5692, 1371, 1067, 6735, 1504, 3473,
                                                        3450, 2860, 3116, 7204, 7422, 6056, 5555, 1312,
                                                        2631, 7768, 594, 649, 7069, 7370, 2156, 2620, 1624,
                                                        7327, 446, 3426, 4934, 2725, 4089, 4800, 214, 781,
                                                        6518, 4291, 6328, 1142, 4841, 6339, 3148, 129, 6796,
                                                        3914
                                                    },
                                                    new[]
                                                    {
                                                        5881, 2970, 3237, 7403, 1810, 122, 766, 298, 132,
                                                        4008, 8026, 1953, 991, 1214, 8095, 385, 5201, 805,
                                                        2477, 12, 1142, 604, 6312, 1435, 4230, 6248, 4266,
                                                        7779, 7561, 3027, 119, 6589, 4021, 5079, 5699, 8053,
                                                        5908, 4078, 2769, 2639, 2316, 5572, 4183, 6735,
                                                        2101, 7274, 612, 3207, 1963, 3871, 6168, 5248, 5869,
                                                        4166, 6448, 2753, 7134, 8016, 4318, 3897, 2148,
                                                        4529, 8070, 4482, 6896, 406, 8120, 1865, 3801, 1967,
                                                        1306, 3249, 1836, 6675, 1830, 1771, 4479, 4915,
                                                        3996, 5301, 322, 4045, 1782, 1034, 4691, 5587, 4088,
                                                        1667, 1044, 3834, 736, 5183, 6126, 1551, 2579, 6958,
                                                        7321, 5362, 797, 4573, 3974, 178, 15, 6905, 7349,
                                                        2106, 6334, 1542, 2650, 1390, 7328, 6267, 990, 7754,
                                                        5505, 2772, 5389, 3827, 2549, 3738, 6653, 340, 1144,
                                                        2329, 6037, 3686, 6216, 2077, 3142, 788, 748, 2660,
                                                        3670, 4697, 2078, 5482, 7317, 657, 6718, 6841, 4432,
                                                        3537, 1754, 1860, 6429, 6143, 4007, 3329, 5391,
                                                        1101, 1271, 1985, 4404, 6693, 773, 887, 1877, 5420,
                                                        7608, 6024, 6179, 1779, 7957, 6766, 2194, 7522,
                                                        2803, 7147, 1152, 4010, 4663, 5885, 5950, 6648, 818,
                                                        7871, 5177, 2760, 7463, 4096, 180, 5906, 4022, 2181,
                                                        3415, 5403, 2182, 4884, 6231, 6954, 4529, 5632,
                                                        2908, 7799, 5504, 388, 390, 7872, 3734, 2663, 8075,
                                                        578, 3884, 4172, 7800, 3494, 2605, 6385, 782, 1064,
                                                        3542, 7145, 7847, 6726, 2371, 3164, 6125, 6514,
                                                        8140, 3811, 2382, 1055, 4553, 3262, 3950, 3974, 679,
                                                        1021, 1107, 3530, 4842, 6540, 3842, 8101, 5195,
                                                        8058, 7135, 4117, 5590, 4146, 3336, 7335, 7796,
                                                        2659, 2628, 1699, 5051, 6364, 5086, 4154, 4705,
                                                        4772, 3438, 3987, 5514
                                                    },
                                                    new[]
                                                    {
                                                        7536, 8165, 3831, 2305, 6721, 400, 6431, 2029, 4980,
                                                        2233, 7838, 4346, 6952, 6699, 223, 6604, 4187, 6509,
                                                        8068, 7253, 134, 4467, 1605, 4694, 3177, 931, 1923,
                                                        2238, 4146, 3095, 577, 6750, 1527, 2856, 7232, 185,
                                                        3215, 7190, 3672, 7218, 7453, 1497, 7210, 1854,
                                                        7454, 5428, 1545, 6231, 4716, 1826, 3192, 5512,
                                                        5824, 4904, 6450, 7168, 4640, 2675, 546, 4501, 7539,
                                                        614, 3852, 421, 364, 1039, 7612, 7744, 1177, 5942,
                                                        6981, 636, 5010, 2630, 2538, 5711, 3216, 2350, 1321,
                                                        2113, 3181, 3453, 1511, 2129, 1628, 4365, 5039, 755,
                                                        6816, 2127, 6935, 6708, 1632, 6164, 4592, 5770,
                                                        6538, 5475, 7717, 731, 18, 6258, 5899, 939, 5695,
                                                        457, 1526, 5292, 2094, 1369, 1255, 6563, 6974, 7239,
                                                        4847, 1634, 3607, 3943, 389, 6462, 953, 3443, 4737,
                                                        3388, 4195, 6975, 8112, 3212, 581, 6656, 3943, 6558,
                                                        4407, 150, 5173, 4334, 1828, 4114, 5664, 2706, 3277,
                                                        6799, 3810, 2408, 3237, 243, 5168, 140, 5050, 1623,
                                                        2359, 142, 5290, 7036, 3374, 6024, 5043, 3783, 2232,
                                                        2016, 7400, 752, 8170, 1984, 350, 7075, 2661, 8171,
                                                        5861, 6888, 3972, 570, 6373, 4285, 6342, 592, 5046,
                                                        4802, 1146, 4410, 1200, 2870, 2792, 1146, 7898, 930,
                                                        707, 6344, 2739, 4979, 5682, 574, 7900, 5673, 487,
                                                        818, 1575, 7562, 2825, 3426, 1689, 6458, 4295, 2308,
                                                        7195, 7984, 6265, 758, 1139, 4699, 4501, 5140, 7191,
                                                        2325, 5574, 6520, 1864, 54, 3254, 2768, 6263, 673,
                                                        3254, 1237, 4370, 394, 228, 2070, 6859, 4687, 5322,
                                                        2757, 5458, 3460, 5190, 3228, 6247, 1300, 7392, 804,
                                                        7551, 2461, 6084, 403, 3482, 5315, 8059, 2672, 901,
                                                        4490, 7585, 1825, 3745, 140, 7874
                                                    },
                                                    new[]
                                                    {
                                                        6299, 2099, 5203, 4428, 6233, 1925, 4081, 598, 179,
                                                        5193, 4155, 5724, 3389, 1885, 476, 809, 7819, 3778,
                                                        6022, 2269, 7624, 7630, 2088, 5041, 7430, 7316,
                                                        8152, 667, 5238, 7311, 4373, 7706, 4584, 7666, 332,
                                                        7997, 4842, 3051, 7613, 3504, 5952, 4429, 1147,
                                                        4515, 3350, 6618, 252, 2245, 5126, 6133, 4477, 8124,
                                                        5624, 5141, 2364, 3803, 7182, 1398, 5672, 5354,
                                                        5416, 7165, 6490, 991, 209, 3538, 4555, 581, 2931,
                                                        6192, 926, 2318, 3353, 1301, 827, 2622, 7078, 341,
                                                        7090, 1830, 2832, 3580, 5116, 3609, 3840, 567, 7799,
                                                        4099, 4168, 2695, 2079, 925, 1380, 7158, 1921, 3319,
                                                        5588, 2171, 4872, 6577, 5885, 1846, 3493, 2380,
                                                        2710, 6402, 1024, 5323, 7322, 7903, 1791, 2931,
                                                        6486, 6566, 2066, 1912, 4099, 1343, 6410, 8121,
                                                        4356, 7795, 5690, 1744, 5338, 6341, 2703, 3436,
                                                        1158, 1028, 3087, 6287, 4372, 3684, 7745, 3857,
                                                        6278, 4695, 7320, 4530, 5568, 2798, 2699, 2406,
                                                        2862, 5943, 6429, 2383, 4941, 4937, 1883, 4718,
                                                        4064, 8111, 6281, 2936, 1960, 6142, 5576, 1529,
                                                        8020, 6285, 752, 6026, 7314, 1746, 2065, 2589, 7598,
                                                        1439, 4135, 4518, 5758, 1680, 3320, 5314, 1122, 280,
                                                        1647, 5148, 6271, 1854, 7013, 2722, 4491, 4599,
                                                        3301, 3616, 2053, 581, 6026, 6565, 3313, 4482, 473,
                                                        539, 4830, 4559, 4275, 5111, 4864, 7736, 4609, 5010,
                                                        1820, 5147, 6758, 7820, 6073, 2852, 4862, 4271,
                                                        6584, 2069, 251, 1488, 2439, 551, 564, 5614, 5074,
                                                        2251, 6888, 6318, 7526, 4193, 7185, 6488, 4961,
                                                        4624, 4945, 882, 7425, 6975, 5963, 7994, 4406, 2468,
                                                        4366, 7737, 5472, 5617, 8076, 342, 5070, 3281, 6752,
                                                        1775, 546, 5436, 3930, 6125, 5441, 5773, 193
                                                    },
                                                    new[]
                                                    {
                                                        1611, 5548, 2848, 5465, 2737, 1249, 1712, 7247,
                                                        4782, 5289, 7281, 250, 5070, 6169, 6720, 6333, 1680,
                                                        5154, 6342, 6667, 4470, 8020, 7820, 6910, 4500,
                                                        3338, 290, 3028, 7335, 3519, 4091, 2328, 7666, 4978,
                                                        470, 8104, 392, 7517, 6664, 694, 3879, 1576, 7231,
                                                        1566, 6229, 2451, 7663, 4554, 2029, 1318, 7945,
                                                        1690, 2463, 8078, 7392, 7555, 4955, 3011, 3640, 349,
                                                        1260, 2331, 7981, 7208, 2949, 6997, 6820, 4274,
                                                        6903, 4253, 757, 3332, 4355, 2855, 3323, 3260, 3131,
                                                        4002, 1392, 3521, 5782, 1507, 5254, 2695, 3194,
                                                        6864, 458, 3787, 7086, 4613, 2195, 4529, 1389, 4189,
                                                        7702, 533, 4666, 6734, 6264, 6445, 138, 4581, 5362,
                                                        2089, 3086, 2848, 1650, 3658, 6957, 5426, 2954,
                                                        7633, 5304, 802, 420, 7994, 1859, 3354, 1486, 7121,
                                                        7877, 5125, 4201, 4829, 8098, 7364, 1587, 7764,
                                                        3670, 3762, 6931, 1633, 3560, 7524, 8175, 5541,
                                                        3946, 1496, 1528, 4903, 7187, 4753, 3524, 7544,
                                                        8128, 29, 5647, 6747, 2876, 2639, 7116, 6747, 293,
                                                        2226, 37, 6735, 6131, 6524, 6347, 7970, 46, 2713,
                                                        3252, 6609, 5080, 4483, 3511, 3078, 606, 3941, 5441,
                                                        3210, 6270, 1332, 4766, 1625, 4960, 6804, 4579,
                                                        1100, 7991, 3734, 4770, 730, 7962, 3057, 4404, 3945,
                                                        6008, 7192, 4994, 3130, 1443, 2528, 3999, 4234, 240,
                                                        3375, 4281, 5886, 2575, 7284, 5816, 4760, 5594,
                                                        4555, 2358, 2506, 781, 5219, 1426, 6197, 4121, 6748,
                                                        2064, 4954, 4626, 7320, 5193, 6855, 8106, 1053,
                                                        3792, 697, 3311, 1315, 1680, 5910, 6956, 1038, 881,
                                                        2686, 4366, 2419, 611, 4464, 907, 4922, 1511, 1796,
                                                        2885, 6406, 7541, 4054, 2247, 5213, 4489, 4476,
                                                        4900, 3329, 7566, 4518, 4940, 3112, 8119
                                                    },
                                                    new[]
                                                    {
                                                        6974, 2307, 7117, 6853, 1487, 6760, 679, 7499, 459,
                                                        6278, 4777, 2940, 1880, 6677, 2160, 6512, 1430,
                                                        1124, 7256, 7207, 5606, 3141, 4149, 8112, 4701,
                                                        4942, 6239, 7025, 2236, 2833, 6508, 698, 498, 7789,
                                                        2272, 4023, 7611, 1646, 5663, 5048, 4057, 1976,
                                                        2191, 2453, 1514, 6188, 5696, 5211, 4646, 6368,
                                                        6151, 5688, 581, 8015, 7279, 1881, 5134, 3086, 6568,
                                                        1853, 2186, 7823, 5689, 7981, 2735, 2219, 4329, 163,
                                                        6530, 4223, 3634, 6683, 1851, 5939, 7363, 7520,
                                                        5402, 252, 6676, 2940, 3598, 3114, 2251, 1965, 3052,
                                                        4712, 4352, 6707, 1913, 6424, 5703, 3053, 1035,
                                                        8099, 24, 6199, 1154, 6837, 4419, 2480, 4248, 4873,
                                                        6114, 6531, 4700, 328, 1266, 7453, 361, 3359, 1789,
                                                        4780, 6236, 6169, 4271, 6235, 3483, 4703, 6651, 619,
                                                        48, 3525, 8090, 6796, 7893, 7642, 7809, 2848, 6472,
                                                        4591, 5468, 1447, 1832, 4227, 1156, 7183, 4101,
                                                        7933, 2872, 3496, 4728, 63, 4379, 7303, 728, 2451,
                                                        8002, 6328, 297, 7487, 4761, 7963, 165, 3977, 1537,
                                                        7212, 1807, 7566, 64, 1399, 963, 5493, 5830, 1607,
                                                        6408, 8065, 2225, 3820, 365, 5950, 4678, 850, 5092,
                                                        1021, 3490, 3948, 539, 7138, 1023, 6426, 913, 2944,
                                                        7008, 1722, 2976, 3717, 7634, 4118, 3658, 4438,
                                                        5497, 5240, 7275, 1193, 8099, 439, 3845, 8090, 1633,
                                                        6093, 5943, 3264, 5894, 2852, 6122, 2796, 7846,
                                                        5785, 1381, 5623, 845, 6256, 4103, 2084, 5100, 7212,
                                                        7509, 7159, 6775, 7765, 6232, 2842, 4920, 535, 3457,
                                                        7670, 5153, 742, 323, 1887, 269, 3595, 1513, 4406,
                                                        662, 870, 1248, 2882, 6089, 5895, 2227, 3225, 4939,
                                                        2160, 7517, 851, 72, 1831, 5130, 5320, 1325, 7055,
                                                        7421, 5077, 2871
                                                    },
                                                    new[]
                                                    {
                                                        7130, 3098, 7874, 4327, 4740, 1227, 6006, 3654,
                                                        4336, 8176, 3481, 4625, 6450, 8177, 6057, 188, 5995,
                                                        7560, 3632, 2997, 3928, 4056, 1437, 7927, 280, 5486,
                                                        7269, 4771, 2722, 2543, 4963, 2038, 5988, 7067, 893,
                                                        4603, 2344, 4768, 483, 393, 1197, 1306, 4449, 7468,
                                                        638, 1472, 5053, 282, 4094, 7151, 1756, 607, 4213,
                                                        4708, 2162, 6511, 3290, 6873, 7380, 6309, 4959,
                                                        7413, 3713, 1238, 1842, 4333, 3119, 699, 7484, 4539,
                                                        2080, 4268, 883, 2046, 4373, 3438, 1604, 6678, 7540,
                                                        833, 4095, 456, 2445, 1684, 4872, 3023, 6722, 8051,
                                                        7905, 7213, 2059, 2051, 7460, 1733, 7312, 2114, 878,
                                                        2671, 3538, 4319, 3188, 4860, 2983, 5992, 2449, 668,
                                                        3657, 1445, 2472, 3677, 3860, 1388, 6922, 3295,
                                                        4684, 6144, 1298, 4393, 7007, 2542, 7580, 4113,
                                                        2530, 4529, 5844, 2407, 862, 5065, 5827, 3559, 790,
                                                        647, 6585, 7708, 2212, 7042, 1827, 1127, 780, 5347,
                                                        2881, 1956, 5314, 4984, 2602, 2433, 7013, 6539,
                                                        1966, 7736, 7821, 2039, 4159, 1626, 2279, 7667,
                                                        4645, 7100, 7255, 4513, 1685, 3689, 1999, 921, 6246,
                                                        1797, 3253, 1040, 6986, 7164, 1845, 4436, 6748,
                                                        3615, 915, 71, 1929, 2962, 1421, 4552, 569, 7089,
                                                        1571, 4979, 6256, 106, 4868, 1221, 3368, 3546, 4491,
                                                        7270, 5297, 3303, 203, 4308, 1605, 6010, 4062, 5344,
                                                        5314, 3842, 740, 4346, 2267, 5373, 7715, 7471, 2006,
                                                        886, 3982, 6205, 5183, 672, 3269, 7231, 2200, 3526,
                                                        5652, 114, 1689, 5052, 4744, 2526, 7977, 6243, 3213,
                                                        5475, 2367, 3242, 1247, 2385, 502, 164, 2481, 5086,
                                                        410, 6640, 7034, 4444, 6811, 1944, 6489, 119, 6735,
                                                        5305, 6726, 371, 7376, 1678, 696, 2883, 3788, 277,
                                                        2599
                                                    },
                                                    new[]
                                                    {
                                                        6141, 3233, 6680, 7342, 2172, 6928, 6166, 5459,
                                                        1622, 6089, 1411, 976, 4786, 4036, 4417, 3145, 5078,
                                                        1857, 714, 4543, 7114, 7836, 3392, 3512, 8045, 1972,
                                                        3184, 7534, 7530, 6172, 2546, 4945, 78, 2354, 2356,
                                                        5532, 1511, 4314, 6598, 4773, 6011, 34, 1202, 78,
                                                        1532, 207, 3577, 4115, 7830, 1766, 3336, 2405, 5362,
                                                        7999, 1209, 7612, 2548, 133, 4499, 4729, 4576, 5906,
                                                        5507, 3996, 5340, 3111, 6323, 6176, 5108, 1226,
                                                        7499, 5769, 181, 5153, 7407, 4218, 7332, 5261, 1641,
                                                        7315, 6115, 1508, 3552, 7465, 2796, 5078, 4631,
                                                        7202, 1311, 5221, 3021, 3629, 387, 1238, 6837, 2854,
                                                        3308, 105, 882, 6594, 1274, 7132, 7385, 1859, 597,
                                                        1488, 5779, 546, 3667, 2747, 3501, 7437, 4900, 5173,
                                                        6909, 4315, 2650, 8064, 288, 780, 1034, 2248, 5089,
                                                        4696, 3440, 3276, 5109, 6241, 1118, 295, 3736, 4632,
                                                        7695, 3277, 5096, 7743, 1377, 6321, 4173, 3256,
                                                        1794, 3188, 3454, 3201, 4574, 807, 5205, 6885, 3889,
                                                        3485, 2520, 3370, 5227, 4778, 3980, 838, 5653, 7645,
                                                        6615, 6672, 932, 7053, 5682, 8066, 1492, 5912, 1379,
                                                        5546, 3477, 6158, 3811, 3368, 5656, 5048, 80, 2586,
                                                        827, 2445, 5898, 5703, 1230, 3394, 4705, 6170, 4287,
                                                        2773, 4401, 5571, 6147, 4732, 2198, 2996, 2775,
                                                        1168, 1557, 1862, 5404, 5059, 7483, 1275, 6860,
                                                        3949, 954, 3847, 3613, 4624, 3725, 150, 1643, 169,
                                                        987, 7191, 2490, 6560, 1954, 1579, 6191, 6006, 588,
                                                        6222, 3381, 1080, 4142, 6620, 5176, 2021, 7255,
                                                        6184, 5633, 7984, 455, 1531, 6040, 6707, 2702, 2924,
                                                        955, 4947, 2532, 4679, 3711, 3647, 5265, 6550, 3762,
                                                        3768, 5341, 142, 4686, 5830, 2961, 7538, 3758, 4239,
                                                        1155
                                                    },
                                                    new[]
                                                    {
                                                        6180, 4948, 8169, 7600, 7945, 1544, 724, 4348, 2456,
                                                        4906, 564, 3933, 5338, 6006, 1995, 8008, 8092, 6348,
                                                        7250, 1321, 1544, 1963, 7053, 5588, 3041, 3581,
                                                        6034, 378, 1203, 5852, 1922, 1675, 5927, 1462, 5678,
                                                        5828, 7768, 2760, 8138, 3610, 2094, 1162, 2407,
                                                        4853, 7784, 6293, 8080, 8088, 2203, 6279, 6481,
                                                        6162, 6125, 8177, 624, 7190, 1020, 7146, 4447, 1213,
                                                        7967, 7697, 6125, 768, 3762, 1990, 3053, 1866, 4024,
                                                        1889, 6381, 4058, 4324, 1688, 5406, 4026, 5654,
                                                        5874, 6385, 2888, 7807, 5317, 6275, 1435, 781, 2186,
                                                        5072, 5530, 6406, 1886, 745, 1082, 545, 7627, 6734,
                                                        835, 928, 1588, 5637, 6561, 5948, 2309, 3485, 3140,
                                                        625, 4347, 24, 1517, 2741, 189, 5938, 4258, 1611,
                                                        7773, 567, 7709, 7458, 5559, 5717, 1643, 3460, 3287,
                                                        1652, 1083, 1302, 7266, 1378, 4960, 13, 7954, 3116,
                                                        7206, 4725, 4417, 2568, 3059, 1734, 5029, 6973,
                                                        6850, 89, 4087, 891, 7594, 7459, 4341, 5281, 1389,
                                                        2394, 5704, 3115, 4738, 1825, 711, 2888, 7794, 7340,
                                                        5488, 6408, 6093, 3986, 3203, 717, 3161, 7253, 7388,
                                                        7722, 6216, 7050, 6255, 5287, 959, 2990, 7556, 1471,
                                                        1921, 4979, 5187, 1903, 3041, 8083, 921, 7325, 7119,
                                                        5531, 4447, 4459, 4016, 1099, 545, 4032, 3345, 6461,
                                                        3965, 5125, 473, 1880, 13, 13, 3617, 5329, 4277,
                                                        6442, 2634, 2502, 4135, 3393, 3087, 3597, 1794,
                                                        2688, 8168, 5423, 4853, 2182, 4193, 1008, 6920,
                                                        5948, 2605, 3819, 1746, 2364, 2418, 744, 5130, 4865,
                                                        2348, 6873, 2381, 2284, 7352, 6859, 6906, 3652,
                                                        6790, 3242, 2143, 5291, 1098, 1010, 5231, 5926,
                                                        4834, 8055, 4758, 1248, 739, 3009, 6206, 5300, 3260,
                                                        6576, 4939, 1297
                                                    },
                                                    new[]
                                                    {
                                                        4268, 4085, 2420, 7628, 7481, 7348, 4385, 7204,
                                                        1596, 4625, 897, 1172, 7189, 3637, 6732, 6547, 801,
                                                        23, 6364, 1882, 2485, 6505, 3183, 916, 95, 1712,
                                                        634, 1528, 3406, 3868, 6932, 592, 2885, 2958, 5262,
                                                        4481, 1925, 86, 3355, 7897, 5760, 689, 6697, 5220,
                                                        7067, 3440, 1835, 3849, 5690, 6781, 6720, 5726,
                                                        3746, 4078, 1451, 4034, 6132, 2528, 5763, 5353,
                                                        5558, 3100, 4278, 4933, 2438, 213, 6531, 341, 4829,
                                                        1893, 484, 1352, 4505, 2825, 418, 3144, 2056, 7732,
                                                        5498, 4463, 5317, 2396, 2138, 8072, 7292, 3087,
                                                        7015, 584, 5307, 7454, 2406, 7365, 4056, 2988, 4294,
                                                        3908, 5976, 8027, 2342, 446, 3180, 3294, 341, 118,
                                                        486, 8116, 5959, 3964, 3481, 7987, 7563, 7637, 4706,
                                                        7700, 2825, 556, 6079, 3088, 304, 5004, 439, 2773,
                                                        7027, 7668, 4132, 5795, 3128, 4772, 6976, 6256,
                                                        6335, 863, 5415, 3565, 2640, 7572, 7351, 93, 7024,
                                                        1207, 2232, 190, 7516, 4067, 624, 2934, 6845, 4023,
                                                        4969, 6521, 4695, 1694, 2093, 5861, 6773, 4707,
                                                        4372, 2501, 4805, 2512, 3260, 5344, 1345, 182, 2685,
                                                        379, 5122, 2699, 3392, 6082, 2500, 8170, 4976, 476,
                                                        5085, 2070, 827, 1156, 6919, 6513, 7550, 6968, 4338,
                                                        5913, 4920, 5770, 7609, 6548, 5087, 2974, 8050,
                                                        1478, 4849, 453, 2667, 2958, 2898, 6781, 4315, 2785,
                                                        7854, 400, 7136, 1585, 6162, 7000, 4374, 2646, 2269,
                                                        6976, 5952, 1076, 7496, 3992, 7353, 684, 3199, 1499,
                                                        7456, 5674, 1282, 1851, 5007, 7491, 6357, 5295,
                                                        7628, 5540, 72, 4421, 3532, 3238, 6000, 194, 7042,
                                                        4067, 3520, 5346, 6498, 3158, 2502, 6411, 6351,
                                                        4665, 2443, 4910, 4645, 1670, 1669, 6417, 4556,
                                                        4747, 951, 4960, 589
                                                    },
                                                    new[]
                                                    {
                                                        5858, 6044, 6692, 6323, 292, 6855, 203, 1900, 3173,
                                                        4446, 7308, 6793, 5296, 3057, 5872, 405, 6220, 3118,
                                                        1797, 4438, 2665, 822, 4359, 95, 2308, 2786, 4991,
                                                        3389, 1174, 6746, 1522, 3654, 7231, 4495, 408, 575,
                                                        6796, 7866, 2019, 642, 3569, 4433, 7126, 5871, 5210,
                                                        1319, 2852, 4872, 8111, 2826, 3581, 3348, 82, 7356,
                                                        5075, 5345, 5883, 3978, 5016, 6612, 7327, 2644,
                                                        5506, 2430, 5161, 4961, 6762, 683, 2418, 1447, 3261,
                                                        1071, 7109, 4625, 2030, 7077, 5719, 4166, 7150,
                                                        2239, 2594, 3646, 3971, 4320, 2981, 3012, 7295,
                                                        3070, 7924, 6137, 1650, 5657, 4685, 4274, 5074,
                                                        4051, 6893, 5491, 3519, 6551, 7009, 6101, 5883,
                                                        5941, 6419, 2740, 560, 7673, 4368, 3408, 4383, 2888,
                                                        6734, 235, 5244, 5528, 2701, 2622, 5612, 5446, 3115,
                                                        2296, 1320, 5454, 669, 6138, 4388, 5144, 2387, 6465,
                                                        1641, 6017, 8065, 5521, 1140, 7343, 4960, 6996, 859,
                                                        2590, 5844, 4626, 7823, 346, 1399, 7854, 5343, 28,
                                                        5504, 5096, 5261, 4116, 4373, 2328, 1145, 937, 2301,
                                                        3697, 7057, 8135, 4169, 7429, 3754, 5666, 4074, 85,
                                                        4859, 1570, 892, 640, 7735, 153, 7477, 7343, 3705,
                                                        3029, 7847, 3459, 4135, 4087, 3709, 1200, 5512,
                                                        2147, 8111, 2592, 1870, 4525, 1438, 7908, 6497,
                                                        7332, 6304, 1771, 2121, 119, 7693, 933, 7945, 3656,
                                                        3725, 7931, 6044, 6260, 5724, 4533, 1895, 3121,
                                                        4395, 3353, 8133, 642, 6958, 5286, 4266, 4488, 2179,
                                                        3028, 2257, 6156, 2956, 3455, 1684, 5684, 5931,
                                                        3279, 6993, 7543, 5937, 5327, 6557, 1318, 823, 859,
                                                        205, 3796, 5768, 2842, 3353, 7496, 2084, 6546, 1752,
                                                        2523, 5797, 3647, 7122, 3416, 1472, 8114, 1967,
                                                        4709, 493, 6395, 4828
                                                    },
                                                    new[]
                                                    {
                                                        4385, 6121, 4484, 749, 6687, 6732, 705, 82, 1757,
                                                        4599, 5753, 5479, 3364, 7514, 2942, 1572, 2930,
                                                        7147, 3885, 6192, 1128, 4639, 1902, 2415, 229, 7591,
                                                        5818, 7755, 6094, 5266, 7408, 3597, 7497, 3947,
                                                        2619, 8104, 2195, 7622, 3550, 1509, 4388, 2551,
                                                        5429, 2316, 4665, 362, 3907, 5009, 369, 3380, 6115,
                                                        6996, 2752, 6526, 3752, 6574, 1710, 340, 5671, 4694,
                                                        6996, 6792, 824, 5913, 2525, 1953, 3200, 4379, 1749,
                                                        6391, 2778, 3662, 7086, 4633, 7773, 2965, 4300,
                                                        1477, 7675, 3379, 4986, 3999, 6304, 4422, 1808, 170,
                                                        5059, 1524, 234, 6324, 3382, 8187, 1554, 7507, 211,
                                                        6426, 810, 2550, 6111, 4706, 3331, 7125, 1240, 2144,
                                                        6338, 3992, 6116, 2927, 2941, 1149, 3210, 8170,
                                                        5224, 1797, 1194, 753, 3273, 2382, 5938, 4415, 8186,
                                                        3464, 8149, 4701, 1428, 1077, 4452, 804, 8105, 295,
                                                        728, 3678, 3724, 4741, 4759, 2841, 7632, 910, 3421,
                                                        5400, 7832, 2976, 4870, 3519, 7887, 7860, 4631,
                                                        7610, 2412, 2344, 2184, 1302, 6818, 4380, 138, 4909,
                                                        538, 5871, 1181, 1300, 4379, 54, 4882, 3392, 6269,
                                                        5376, 4234, 6642, 6076, 1347, 4787, 6840, 2755, 123,
                                                        2009, 1561, 4864, 4620, 5586, 5950, 217, 3514, 3893,
                                                        5861, 4765, 5252, 4028, 7088, 6175, 3960, 5926,
                                                        3934, 3001, 1031, 6761, 7381, 2507, 3938, 1582,
                                                        2072, 5137, 3880, 6962, 1564, 5744, 7024, 6892, 569,
                                                        5281, 8071, 812, 1862, 6229, 952, 4881, 1934, 1494,
                                                        5860, 3922, 1319, 7988, 475, 3849, 3495, 264, 3497,
                                                        4305, 4849, 2962, 2915, 7410, 4084, 6730, 4719,
                                                        5099, 147, 4260, 2205, 1570, 7136, 3475, 504, 1470,
                                                        6734, 4868, 1589, 2366, 4614, 303, 1682, 1126, 2472,
                                                        4924, 219, 5455
                                                    },
                                                    new[]
                                                    {
                                                        3238, 7148, 2743, 8105, 2293, 686, 4785, 3826, 6297,
                                                        4190, 7013, 4204, 6017, 5963, 6280, 4963, 2199, 426,
                                                        4525, 4863, 7878, 2622, 2132, 3736, 5296, 2872,
                                                        6072, 556, 1592, 3644, 4666, 6736, 5703, 6867, 618,
                                                        7070, 5833, 4076, 193, 7339, 2311, 6073, 2142, 1197,
                                                        5321, 3668, 6216, 1194, 1002, 4330, 3445, 6108,
                                                        3788, 6397, 271, 4016, 1921, 6049, 3296, 5602, 5399,
                                                        1799, 1596, 5892, 4442, 691, 2586, 4111, 525, 3618,
                                                        4474, 1491, 7205, 7490, 2181, 8161, 3845, 116, 834,
                                                        114, 4581, 2681, 4398, 2685, 184, 3384, 582, 7544,
                                                        846, 1724, 2177, 5699, 301, 3541, 7935, 5483, 3435,
                                                        6419, 5780, 3487, 7415, 7047, 3683, 1455, 1521,
                                                        5222, 5638, 7045, 2751, 5770, 466, 815, 1854, 233,
                                                        2232, 6077, 2087, 5189, 1537, 2730, 3146, 68, 2289,
                                                        7467, 1714, 3026, 2991, 3728, 4848, 4592, 205, 7204,
                                                        46, 4028, 408, 2421, 914, 3238, 6970, 3890, 386,
                                                        1144, 1240, 1884, 3564, 6529, 3805, 7266, 388, 1894,
                                                        7070, 6148, 5636, 1780, 5208, 647, 4972, 7508, 302,
                                                        51, 7714, 3464, 2549, 6283, 6387, 4522, 2064, 6522,
                                                        5738, 2843, 445, 7339, 1116, 5708, 4073, 1698, 2953,
                                                        1038, 2642, 1502, 7781, 3749, 564, 6402, 4281, 5223,
                                                        6606, 6097, 51, 1218, 3136, 5004, 5782, 4592, 4414,
                                                        1625, 5142, 3253, 853, 3403, 6483, 3754, 5757, 1962,
                                                        4944, 5029, 7963, 5402, 2526, 1505, 2165, 7544,
                                                        7821, 7988, 4617, 5706, 3101, 3656, 4839, 5533,
                                                        4920, 4579, 2703, 3816, 1918, 5358, 84, 1589, 5345,
                                                        2447, 8160, 3431, 4274, 7218, 7716, 7788, 7699, 873,
                                                        4155, 7584, 4599, 1270, 821, 1532, 6653, 7286, 7687,
                                                        8145, 502, 6022, 2247, 2612, 5635, 5752, 6045
                                                    },
                                                    new[]
                                                    {
                                                        5102, 7501, 1493, 7442, 4020, 2804, 2744, 2084, 219,
                                                        2562, 192, 6264, 2393, 6634, 5906, 2858, 2599, 2372,
                                                        8184, 6407, 5124, 2032, 5878, 6547, 3338, 5202,
                                                        7866, 2237, 2764, 1621, 6088, 777, 3180, 963, 6648,
                                                        2888, 12, 1696, 156, 4417, 5678, 209, 3544, 248,
                                                        5719, 3571, 7570, 5143, 6881, 5674, 6358, 952, 388,
                                                        6727, 3659, 6468, 1655, 7708, 7987, 4517, 6661,
                                                        4184, 5935, 518, 4998, 1442, 831, 8182, 267, 2855,
                                                        2063, 5869, 5533, 20, 5448, 6192, 8060, 5763, 2079,
                                                        834, 2726, 5269, 4068, 4559, 3910, 5995, 1764, 3883,
                                                        1619, 6285, 3844, 2153, 5952, 1323, 7033, 7836,
                                                        7779, 7583, 7113, 3630, 1890, 3631, 1810, 3063,
                                                        3939, 391, 1330, 1232, 7496, 4064, 1446, 3495, 3773,
                                                        139, 7683, 4366, 3178, 7683, 5730, 7134, 4506, 3157,
                                                        3481, 1442, 4772, 2747, 661, 2592, 7573, 8143, 2937,
                                                        5673, 4365, 4786, 3782, 1733, 1257, 7357, 1146, 965,
                                                        5358, 2229, 6386, 2460, 436, 6522, 4891, 150, 7073,
                                                        4670, 2694, 230, 3267, 1972, 7168, 7968, 3644, 2345,
                                                        761, 3069, 100, 7568, 300, 4411, 7609, 4349, 1796,
                                                        1919, 284, 3571, 759, 4382, 5769, 1439, 4842, 4671,
                                                        4643, 8069, 7683, 6353, 2882, 7346, 5466, 7669,
                                                        6010, 7158, 7738, 1951, 6874, 3838, 6826, 461, 7155,
                                                        2165, 1760, 5783, 3014, 4154, 3677, 7913, 6771,
                                                        3799, 1406, 3984, 3816, 7199, 2070, 5665, 722, 5583,
                                                        2800, 6426, 4870, 5650, 84, 7337, 5893, 5084, 7898,
                                                        6297, 8144, 4686, 6823, 5226, 327, 2113, 3005, 3758,
                                                        5035, 6505, 7260, 7531, 4819, 5367, 4269, 2124,
                                                        6311, 4672, 6550, 501, 1472, 6239, 2941, 5052, 696,
                                                        1874, 3483, 5483, 6552, 3247, 7994, 5170, 4244,
                                                        2502, 1974
                                                    },
                                                    new[]
                                                    {
                                                        4097, 1098, 3550, 1299, 1337, 3388, 6576, 6122,
                                                        5246, 2645, 7273, 3209, 6123, 7113, 7705, 1739,
                                                        3377, 2599, 2116, 8064, 1173, 7802, 4075, 606, 3426,
                                                        1811, 2331, 1945, 2478, 4880, 3689, 3871, 872, 7518,
                                                        5816, 5914, 2172, 6333, 1280, 6459, 5366, 3284,
                                                        5591, 4435, 2906, 5946, 1649, 3860, 5450, 4478,
                                                        6366, 2756, 5415, 7634, 608, 1165, 5078, 6880, 1861,
                                                        773, 1622, 1100, 850, 7489, 2072, 5263, 3537, 1896,
                                                        7828, 2004, 7067, 7991, 4920, 2743, 5781, 1447,
                                                        3017, 6252, 4786, 2247, 6320, 4314, 515, 7445, 4327,
                                                        2031, 3963, 7057, 3372, 1050, 7110, 4417, 7907,
                                                        2875, 6439, 722, 8092, 5314, 6286, 3121, 2690, 5083,
                                                        6448, 7660, 2202, 2481, 8099, 1093, 7244, 6493, 504,
                                                        1014, 3165, 4526, 7120, 2686, 6344, 2136, 5222,
                                                        3219, 7945, 3117, 188, 3063, 5889, 5732, 6064, 6415,
                                                        2171, 5188, 1112, 3071, 3308, 4773, 3638, 1489,
                                                        6806, 1503, 8015, 2299, 1771, 4660, 1225, 2345,
                                                        5785, 7873, 1018, 2891, 2171, 4395, 4637, 1849,
                                                        6694, 6509, 7457, 2373, 2789, 6925, 5044, 565, 2684,
                                                        2191, 5226, 4491, 4324, 8037, 2691, 2565, 5908,
                                                        3296, 3096, 4212, 501, 640, 6308, 3918, 4760, 716,
                                                        3852, 1450, 2086, 1791, 6309, 6541, 5433, 5780,
                                                        5676, 7948, 2745, 7394, 958, 5358, 267, 2761, 6666,
                                                        1974, 1516, 4957, 4599, 3829, 7652, 4851, 4425,
                                                        1421, 3785, 1685, 4656, 1671, 7542, 5185, 5736,
                                                        2733, 1777, 4589, 2404, 4027, 94, 7897, 6515, 293,
                                                        5518, 3011, 2653, 1234, 7337, 7235, 6113, 6706,
                                                        6999, 2780, 7614, 2227, 1634, 3308, 7705, 6627,
                                                        6770, 1081, 6970, 5630, 4260, 4938, 850, 1344, 1602,
                                                        4577, 416, 2633, 6234, 1222, 4618, 5050, 7530, 6705,
                                                        1248
                                                    },
                                                    new[]
                                                    {
                                                        4271, 3647, 1005, 4133, 5869, 4326, 6899, 3548,
                                                        5347, 1973, 2025, 7536, 4257, 5371, 292, 6431, 6154,
                                                        3247, 3848, 2699, 1570, 2319, 7953, 4435, 5549,
                                                        6039, 476, 4167, 2245, 8078, 5675, 899, 4848, 1348,
                                                        3995, 1965, 1303, 3202, 3728, 5405, 3263, 3981,
                                                        1114, 4895, 2470, 1166, 6194, 6432, 2518, 1618,
                                                        3204, 7637, 641, 6156, 1367, 5848, 4184, 5566, 7094,
                                                        3389, 4395, 8100, 554, 3650, 2135, 6850, 255, 2087,
                                                        316, 4003, 3996, 7478, 3241, 1874, 3079, 2591, 6798,
                                                        337, 889, 7322, 1168, 1359, 825, 8031, 5341, 1917,
                                                        2671, 3363, 4382, 857, 8118, 5288, 6586, 1482, 5991,
                                                        7753, 1822, 7298, 2608, 7943, 1706, 6810, 2519,
                                                        7305, 2297, 807, 2947, 3412, 1736, 7686, 1158, 5641,
                                                        4822, 4597, 3836, 2341, 4200, 4425, 6277, 1406,
                                                        6275, 6849, 6503, 4051, 2925, 7059, 6981, 1955,
                                                        2212, 4679, 4084, 3539, 6218, 7560, 7572, 4261,
                                                        2882, 4590, 5614, 4571, 1291, 175, 2794, 1954, 1314,
                                                        1996, 3371, 1626, 2021, 6129, 4102, 7485, 7465, 45,
                                                        339, 6198, 2599, 6024, 7856, 6730, 1456, 8165, 5299,
                                                        385, 1947, 6484, 7799, 2528, 5785, 2396, 852, 7526,
                                                        8027, 8009, 737, 112, 1847, 6024, 7729, 4697, 5617,
                                                        5597, 5702, 2970, 215, 5757, 860, 713, 6978, 7302,
                                                        2297, 4891, 4291, 7896, 4024, 2211, 6402, 3472,
                                                        3013, 3699, 3123, 3848, 7238, 7084, 4983, 4949,
                                                        7141, 6484, 1771, 2687, 6030, 4731, 6612, 4536,
                                                        2226, 5274, 2979, 2505, 3249, 3950, 1302, 5333,
                                                        7737, 6441, 3800, 116, 3702, 6217, 2954, 6848, 1541,
                                                        6894, 4753, 6527, 6667, 1226, 7232, 1860, 4560,
                                                        3525, 3755, 3054, 4321, 3487, 949, 170, 7830, 2906,
                                                        4409, 1370, 5498, 6989, 4907, 3771, 5283
                                                    },
                                                    new[]
                                                    {
                                                        6014, 5653, 7981, 8036, 5468, 2696, 3667, 7864,
                                                        1078, 631, 4963, 518, 2865, 3841, 519, 7967, 6053,
                                                        4653, 2633, 2719, 4992, 226, 1932, 6574, 2162, 3751,
                                                        4867, 1616, 3763, 7632, 5267, 287, 4044, 7212, 2029,
                                                        2683, 3951, 5194, 4345, 3402, 6228, 891, 7557, 2311,
                                                        5205, 5807, 5399, 5132, 6402, 1806, 2780, 6174, 188,
                                                        6739, 2935, 5932, 7305, 4535, 27, 2364, 7378, 1908,
                                                        7785, 3796, 704, 3872, 5533, 349, 3918, 2976, 59,
                                                        1831, 5716, 3782, 4207, 2021, 6331, 4508, 650, 8118,
                                                        6295, 473, 1893, 707, 6272, 5705, 5041, 6408, 7680,
                                                        4227, 3365, 5214, 4592, 1638, 2039, 1395, 2845,
                                                        6154, 1458, 1123, 4101, 1638, 646, 5193, 743, 7576,
                                                        4918, 7633, 2156, 3523, 5817, 8138, 1853, 5902,
                                                        4268, 3737, 3361, 7842, 2551, 6714, 6605, 2774,
                                                        3410, 1167, 2113, 4942, 1319, 7565, 4561, 6289, 159,
                                                        739, 7166, 1379, 5981, 554, 7504, 248, 6394, 40,
                                                        6404, 5629, 7957, 5748, 6113, 6174, 640, 2713, 2691,
                                                        3133, 1229, 4433, 7394, 4726, 770, 5722, 5994, 1864,
                                                        4927, 388, 1117, 6658, 68, 4652, 5316, 3906, 1993,
                                                        7611, 1954, 6104, 2136, 3468, 71, 1148, 4314, 1112,
                                                        5360, 6791, 7127, 7794, 3466, 3794, 386, 1330, 2729,
                                                        4990, 3003, 2175, 7777, 7883, 6996, 3713, 6298,
                                                        6741, 2650, 6582, 4736, 1623, 558, 554, 4396, 1996,
                                                        5266, 6449, 3931, 4862, 6521, 248, 6978, 5479, 7571,
                                                        6267, 3453, 7365, 7022, 5089, 1694, 1705, 4601,
                                                        7322, 6796, 810, 1699, 1777, 4411, 332, 517, 5427,
                                                        1630, 759, 7754, 783, 7048, 5622, 3124, 526, 6828,
                                                        6085, 7401, 3125, 5887, 6630, 7982, 1229, 2694, 557,
                                                        8143, 3699, 5182, 957, 708, 4149, 7724, 4502, 1796
                                                    },
                                                    new[]
                                                    {
                                                        7433, 590, 1074, 3153, 1063, 5519, 4350, 4459, 5019,
                                                        2450, 1996, 4872, 842, 621, 4998, 5841, 3075, 2401,
                                                        7022, 5444, 3080, 4576, 4778, 3029, 6779, 7121,
                                                        4228, 6893, 544, 6337, 4748, 1809, 2881, 4924, 182,
                                                        2348, 6408, 6590, 3577, 1803, 7306, 2404, 440, 5409,
                                                        8066, 4061, 5881, 6850, 2034, 3964, 7933, 6875,
                                                        3712, 676, 1181, 1552, 213, 5606, 2827, 6694, 4722,
                                                        575, 6502, 5291, 3321, 5418, 3482, 217, 2615, 8056,
                                                        6941, 6796, 6028, 1485, 4110, 7556, 2825, 2601,
                                                        8078, 502, 1425, 4711, 6352, 5781, 2188, 3231, 3786,
                                                        6599, 7164, 4240, 169, 7273, 6462, 4811, 2633, 7299,
                                                        6987, 2053, 5165, 7129, 1454, 839, 6172, 2024, 8107,
                                                        4881, 5924, 5449, 3862, 5111, 5926, 4615, 1699,
                                                        8078, 3130, 1541, 1133, 7799, 135, 1278, 483, 636,
                                                        3639, 2452, 4476, 2444, 4921, 3246, 3253, 5589,
                                                        5747, 826, 7587, 6068, 6256, 1940, 5227, 8073, 4076,
                                                        8049, 4178, 4194, 8070, 1999, 6625, 7728, 7741,
                                                        4384, 5147, 3781, 6103, 1798, 2422, 296, 1298, 3570,
                                                        3422, 8188, 1381, 5531, 3499, 1477, 1294, 7572,
                                                        7987, 3046, 7522, 4298, 1535, 7120, 3925, 706, 4438,
                                                        3026, 1452, 6778, 48, 5778, 7445, 2668, 4537, 624,
                                                        5964, 2368, 3820, 2784, 2531, 5839, 6870, 40, 3594,
                                                        8168, 3025, 5887, 3262, 2065, 5574, 6568, 7109,
                                                        3959, 5506, 2095, 2619, 4051, 634, 2859, 3288, 3041,
                                                        5086, 1302, 1537, 5103, 5866, 8025, 6887, 3147,
                                                        3015, 4873, 7255, 434, 5149, 6465, 6653, 6469, 6575,
                                                        719, 5878, 8154, 7665, 7668, 2788, 981, 3989, 4509,
                                                        5025, 5384, 2351, 7572, 2880, 656, 3396, 7928, 2486,
                                                        2218, 5675, 3677, 8152, 2612, 5675, 7357, 8116, 319,
                                                        6359, 467, 4746
                                                    },
                                                    new[]
                                                    {
                                                        5300, 4779, 6192, 3764, 2453, 615, 4624, 6014, 1718,
                                                        7103, 2401, 5098, 6549, 3302, 1100, 4719, 7190,
                                                        3085, 7798, 1370, 7576, 609, 6697, 657, 479, 3702,
                                                        1614, 2815, 2364, 7789, 3711, 2350, 3019, 7756,
                                                        4116, 5351, 217, 4788, 6742, 4788, 769, 1032, 6810,
                                                        5778, 5664, 7831, 937, 1288, 5299, 2695, 6323, 4623,
                                                        2139, 3172, 7336, 7716, 1555, 2962, 2901, 7748,
                                                        4172, 548, 347, 2557, 5775, 2289, 7515, 2893, 5952,
                                                        6436, 4473, 5866, 5964, 4998, 1034, 5313, 1394, 875,
                                                        6957, 5523, 3124, 7484, 1791, 1677, 5288, 6719,
                                                        4278, 2391, 2605, 4514, 4706, 5805, 7542, 6979,
                                                        3690, 3328, 3887, 1369, 6901, 6065, 5, 434, 2087,
                                                        4778, 3335, 3013, 1426, 8123, 1465, 5384, 3281,
                                                        5026, 3214, 6354, 4546, 1550, 7742, 4511, 6092,
                                                        8106, 7452, 5466, 6441, 4645, 484, 6914, 7966, 3021,
                                                        8130, 5766, 6605, 7350, 5013, 252, 7677, 4819, 7946,
                                                        7324, 1995, 352, 3018, 6952, 3053, 3052, 198, 2993,
                                                        1511, 5013, 746, 1880, 4215, 7463, 6189, 5273, 1600,
                                                        474, 440, 4554, 8007, 3216, 184, 3205, 3678, 3588,
                                                        3251, 911, 3146, 7672, 4112, 8142, 3020, 4966, 1086,
                                                        6526, 4849, 5575, 4037, 855, 5657, 1436, 5719, 7949,
                                                        6379, 386, 5047, 1127, 1861, 1869, 1249, 2235, 4511,
                                                        3709, 883, 2692, 8148, 5627, 3891, 3408, 4358, 4291,
                                                        955, 6625, 5905, 3922, 5395, 7060, 1523, 4368, 47,
                                                        410, 8075, 1249, 3716, 6904, 2013, 6211, 2428, 1132,
                                                        569, 1229, 1989, 4377, 7599, 7976, 5923, 8097, 2293,
                                                        2459, 7819, 4524, 8187, 580, 5088, 1560, 2548, 2414,
                                                        2597, 2705, 2565, 719, 1193, 6487, 1840, 6888, 6722,
                                                        5902, 5759, 7948, 5379, 3837, 5597, 3235, 4010,
                                                        3940, 2713
                                                    },
                                                    new[]
                                                    {
                                                        2682, 2588, 2613, 5054, 4860, 4983, 4241, 7287,
                                                        7922, 6150, 146, 2461, 2815, 7024, 3461, 3431, 4876,
                                                        7215, 4204, 2812, 6497, 5143, 6539, 1150, 5873,
                                                        5404, 5881, 1238, 6602, 6043, 1210, 2967, 4318,
                                                        6946, 7869, 6301, 4371, 6671, 2682, 1515, 4373,
                                                        7794, 6026, 4347, 1413, 7786, 3156, 7437, 2263,
                                                        2734, 3618, 5741, 2492, 3445, 6238, 2009, 1277, 817,
                                                        6987, 6317, 57, 3604, 4912, 5851, 6939, 1747, 4452,
                                                        4429, 7715, 4121, 4855, 958, 1984, 249, 4556, 4046,
                                                        7759, 2893, 3447, 3999, 725, 1030, 3294, 186, 4777,
                                                        4932, 3463, 5810, 406, 6073, 7904, 6644, 7087, 4104,
                                                        901, 3330, 7681, 7571, 4313, 4331, 5746, 7970, 7739,
                                                        5337, 7996, 3628, 5700, 575, 5457, 3416, 5826, 5200,
                                                        2684, 1194, 4575, 5909, 7975, 252, 5047, 3947, 2664,
                                                        7069, 4935, 4010, 5819, 7951, 3021, 638, 6237, 7887,
                                                        2857, 6047, 7403, 4757, 4414, 3437, 418, 4080, 5853,
                                                        395, 1452, 8045, 2844, 830, 271, 3505, 2143, 2125,
                                                        6325, 159, 2244, 5162, 1829, 317, 5816, 5054, 5555,
                                                        1848, 6338, 6588, 4619, 7779, 5259, 4429, 6047,
                                                        7397, 286, 1659, 489, 4433, 1925, 3489, 6794, 3309,
                                                        99, 2658, 5445, 3297, 1509, 7830, 1685, 5964, 2783,
                                                        2905, 5490, 3194, 2009, 1348, 4667, 4208, 5990,
                                                        4020, 779, 3615, 3859, 2534, 550, 2446, 325, 1959,
                                                        1950, 2285, 2622, 8017, 3250, 5057, 1939, 400, 1680,
                                                        6353, 2083, 420, 8012, 929, 2788, 7050, 3517, 1352,
                                                        5736, 6298, 7144, 639, 8062, 3204, 5420, 7246, 1316,
                                                        561, 3774, 3607, 2817, 7817, 4835, 6647, 628, 5795,
                                                        3312, 6345, 2183, 1435, 6974, 5418, 1429, 2543,
                                                        4822, 293, 1222, 6145, 6503, 1918, 4327, 5223, 4142,
                                                        7, 75
                                                    },
                                                    new[]
                                                    {
                                                        2239, 3575, 1790, 7507, 7066, 3342, 6194, 7698,
                                                        1470, 5485, 4964, 2307, 2580, 3549, 5999, 4809,
                                                        3256, 1842, 4326, 1656, 713, 1572, 7359, 3767, 4595,
                                                        6933, 6967, 1972, 4996, 557, 6452, 4893, 311, 6131,
                                                        1826, 3295, 6922, 4725, 5489, 4465, 5636, 6124,
                                                        5113, 4582, 5099, 2549, 63, 779, 7400, 5371, 6852,
                                                        2803, 2515, 6757, 2509, 1722, 4098, 1910, 7615,
                                                        2659, 1762, 6029, 942, 2047, 405, 3509, 3845, 3128,
                                                        2938, 6005, 7566, 5536, 1046, 3858, 5807, 7389,
                                                        6932, 6246, 3719, 6374, 7684, 5978, 2456, 1162,
                                                        5065, 1981, 2378, 7118, 6338, 1119, 1863, 3516,
                                                        6447, 2983, 5809, 4916, 5653, 3576, 5547, 3154, 845,
                                                        4859, 1134, 2199, 5224, 4712, 1843, 2730, 5825,
                                                        3783, 6193, 7315, 5963, 6628, 3637, 8162, 6077,
                                                        1700, 1686, 2490, 1230, 811, 7988, 6311, 886, 3236,
                                                        4146, 3431, 2603, 192, 3642, 4220, 3893, 1509, 4418,
                                                        7718, 4568, 2593, 1727, 3396, 7923, 293, 2570, 1010,
                                                        7686, 454, 1012, 5369, 2765, 4235, 2935, 231, 5326,
                                                        4000, 6388, 6315, 1664, 8184, 618, 3460, 6181, 5574,
                                                        2077, 4477, 786, 6298, 3314, 2345, 4064, 3109, 3836,
                                                        4520, 97, 2309, 5942, 1301, 2427, 7591, 1318, 3819,
                                                        173, 6441, 6624, 5021, 6588, 2798, 6424, 3728, 6761,
                                                        5299, 4603, 3844, 2135, 1586, 3808, 3574, 2215,
                                                        3932, 6010, 3136, 6484, 573, 4724, 5869, 6844, 3763,
                                                        2768, 5419, 2302, 1144, 4173, 1744, 1770, 7058,
                                                        2054, 1201, 2697, 7497, 2885, 4447, 2819, 6634,
                                                        5044, 7513, 3998, 1620, 977, 7104, 5266, 5537, 5784,
                                                        1860, 7342, 3818, 3075, 7366, 5638, 2478, 5699,
                                                        2978, 3129, 4922, 1113, 7900, 8106, 3079, 278, 2929,
                                                        7049, 1337, 4838, 4125, 2414, 7488, 3277
                                                    },
                                                    new[]
                                                    {
                                                        7677, 646, 1909, 549, 763, 7132, 3130, 3796, 5389,
                                                        4054, 3431, 2667, 6986, 5834, 3610, 2194, 3309,
                                                        2141, 7831, 5260, 3979, 1815, 5165, 6176, 2856,
                                                        7109, 1259, 514, 649, 1096, 5577, 7248, 2445, 4454,
                                                        4574, 3459, 2612, 5377, 6830, 7007, 7058, 3766,
                                                        1671, 2817, 2813, 8121, 7544, 1067, 2108, 1505,
                                                        3818, 424, 8147, 7728, 205, 2779, 2479, 3272, 7949,
                                                        3000, 2509, 3431, 3529, 5123, 2367, 842, 5600, 4364,
                                                        7077, 4921, 1583, 1559, 5919, 4739, 6150, 973, 2390,
                                                        7453, 5076, 801, 8068, 1118, 3717, 3568, 3745, 3407,
                                                        7442, 584, 2515, 4094, 6420, 2901, 820, 7888, 1350,
                                                        1294, 2348, 6682, 6915, 6035, 1540, 3174, 2251,
                                                        6803, 2253, 4525, 2667, 5199, 3129, 5799, 2051,
                                                        5066, 2403, 5871, 5548, 1749, 5290, 6155, 5321,
                                                        1677, 5044, 2958, 5405, 2509, 6426, 4346, 2273,
                                                        3115, 332, 6605, 7146, 5292, 4881, 150, 180, 2667,
                                                        4874, 386, 5648, 3937, 5152, 3115, 3786, 3123, 5886,
                                                        7245, 4519, 5872, 5911, 1747, 2520, 7439, 4291,
                                                        1639, 3354, 945, 3521, 6550, 3534, 6069, 7959, 7843,
                                                        3563, 6800, 4804, 5809, 760, 4740, 5789, 5923, 2902,
                                                        4565, 5962, 4957, 4358, 5773, 1401, 3519, 7824,
                                                        5350, 3460, 2841, 3054, 6569, 3474, 2069, 3861,
                                                        7758, 5975, 4031, 2373, 4841, 3541, 1973, 2644,
                                                        5875, 8184, 7789, 4856, 2004, 6186, 7636, 6657,
                                                        7909, 4209, 5021, 4678, 7258, 1010, 4504, 4935,
                                                        4525, 7235, 4713, 6451, 1158, 6068, 1844, 4951,
                                                        1797, 6851, 1967, 4465, 1188, 5110, 485, 4711, 4670,
                                                        1222, 3512, 2269, 4271, 4636, 383, 7971, 6349, 6028,
                                                        1406, 3218, 6778, 6540, 5478, 6281, 6641, 7482, 686,
                                                        2455, 6128, 4316, 604, 1098, 5826, 3254, 6499, 6695
                                                    },
                                                    new[]
                                                    {
                                                        3801, 4129, 4323, 902, 66, 7694, 5372, 1650, 7518,
                                                        2833, 5038, 3949, 3267, 7561, 2822, 912, 5077, 1903,
                                                        3507, 4330, 455, 2820, 7468, 4389, 6214, 6726, 3728,
                                                        1483, 5926, 5180, 545, 5946, 1460, 2097, 7831, 7409,
                                                        4628, 1155, 2064, 1389, 506, 6713, 8139, 960, 4495,
                                                        3928, 1291, 2388, 6258, 4917, 2314, 1096, 3138,
                                                        6150, 624, 5962, 7891, 2059, 2179, 2117, 5330, 2430,
                                                        7738, 4140, 1534, 5332, 4351, 1152, 1270, 5033,
                                                        5190, 4138, 2393, 807, 7419, 5558, 4760, 1889, 488,
                                                        2231, 561, 5241, 2641, 2078, 3986, 2799, 4905, 4765,
                                                        6756, 6267, 6910, 1194, 5632, 4318, 1218, 5129,
                                                        3371, 3147, 6583, 1478, 7447, 5200, 7674, 6799,
                                                        3693, 6043, 5199, 2698, 2435, 820, 7745, 1021, 4824,
                                                        4304, 5084, 7268, 733, 6543, 494, 7963, 4172, 3648,
                                                        5796, 413, 1475, 7068, 3437, 4590, 4850, 847, 1394,
                                                        7830, 1277, 65, 3301, 448, 5824, 5551, 7039, 2314,
                                                        3892, 7683, 7228, 3497, 7718, 7693, 1217, 3640,
                                                        7933, 1931, 4951, 647, 4894, 5377, 7511, 7378, 7278,
                                                        3825, 2612, 2794, 8018, 5886, 843, 8168, 1086, 3358,
                                                        2863, 5395, 6066, 1499, 1592, 7822, 4729, 1567,
                                                        7560, 4918, 4419, 3724, 886, 4077, 6395, 7141, 4939,
                                                        509, 6871, 920, 1690, 2136, 366, 1811, 2358, 7455,
                                                        1535, 939, 7280, 3434, 2711, 2050, 6750, 7602, 4184,
                                                        5752, 1759, 4914, 3774, 7293, 6935, 1044, 99, 7966,
                                                        6477, 6264, 4195, 7782, 4719, 8150, 1803, 7161,
                                                        4598, 7447, 4841, 5703, 2858, 3197, 6241, 5666,
                                                        6470, 2391, 920, 6922, 4847, 4734, 6754, 6528, 3876,
                                                        4478, 3374, 2572, 5321, 2655, 5187, 2691, 2283,
                                                        1483, 2216, 7196, 5215, 4228, 1625, 6320, 3901,
                                                        6388, 4852, 4079, 320
                                                    },
                                                    new[]
                                                    {
                                                        6660, 2196, 6260, 3145, 6065, 5663, 5139, 7498,
                                                        3242, 2299, 7446, 757, 972, 4455, 1243, 7920, 6342,
                                                        2624, 7458, 6859, 952, 2957, 634, 484, 8024, 7267,
                                                        5131, 7321, 3775, 5164, 3096, 2356, 8047, 5398,
                                                        3202, 781, 6263, 3944, 2150, 6229, 1445, 2837, 3631,
                                                        7660, 7071, 7554, 8146, 7152, 860, 5626, 3595, 7205,
                                                        1012, 543, 4248, 6180, 240, 7025, 5181, 4501, 1783,
                                                        4639, 8104, 6214, 7319, 5074, 8043, 2986, 6223,
                                                        7616, 5756, 105, 7293, 7623, 174, 1404, 6139, 1001,
                                                        7785, 3204, 3804, 9, 3542, 1965, 3642, 2481, 2453,
                                                        7280, 2675, 7189, 3960, 1211, 504, 4594, 2519, 5482,
                                                        3854, 8047, 1946, 1604, 1646, 6880, 5777, 6036,
                                                        4947, 1877, 336, 6287, 7022, 4485, 2463, 1390, 499,
                                                        166, 4305, 7060, 5480, 4948, 3157, 6041, 2138, 8008,
                                                        543, 8045, 6722, 7560, 6156, 830, 5401, 7300, 5266,
                                                        3336, 7419, 3490, 6307, 6508, 5097, 2286, 1920,
                                                        5427, 883, 7957, 4872, 7619, 1344, 5396, 1468, 2719,
                                                        4470, 1508, 4920, 3539, 8060, 38, 1223, 5573, 7699,
                                                        75, 775, 6704, 7154, 5050, 1216, 2647, 2219, 983,
                                                        2043, 5012, 5766, 1712, 1751, 5522, 4111, 7039,
                                                        7407, 4940, 614, 2690, 4206, 5142, 3917, 2361, 3762,
                                                        3491, 6194, 1612, 5192, 755, 3377, 7097, 4784, 2634,
                                                        5867, 3033, 6946, 5487, 3294, 486, 3868, 3984, 4660,
                                                        5877, 3286, 1812, 1746, 715, 3375, 5897, 3558, 5492,
                                                        7775, 7292, 3477, 741, 3653, 8017, 7253, 5965, 6684,
                                                        5742, 750, 8086, 2840, 1888, 2807, 1076, 1523, 3733,
                                                        3434, 3618, 2932, 2399, 1411, 1950, 5632, 287, 7893,
                                                        4204, 7435, 4574, 5121, 791, 5252, 1921, 3853, 6405,
                                                        1232, 2306, 2633, 3678, 582, 6745, 7133, 783, 7359
                                                    },
                                                    new[]
                                                    {
                                                        8135, 3759, 1630, 6986, 1040, 5484, 2065, 3392,
                                                        7629, 6275, 6852, 5540, 3673, 1847, 3449, 1668,
                                                        7002, 8022, 2361, 7979, 943, 3810, 3333, 3441, 1337,
                                                        6681, 2393, 6573, 102, 4379, 1260, 3784, 622, 4998,
                                                        1129, 7150, 1097, 618, 7749, 4947, 4841, 6970, 2652,
                                                        7485, 8091, 5571, 8076, 1197, 85, 7591, 7458, 5219,
                                                        5015, 3208, 7092, 7030, 812, 3575, 6903, 3667, 6346,
                                                        834, 7066, 8092, 2411, 5518, 1135, 5903, 1308, 2153,
                                                        2133, 579, 1252, 1513, 7623, 356, 7819, 6263, 1494,
                                                        5827, 7107, 7166, 2504, 4406, 8152, 462, 5461, 6676,
                                                        5099, 3945, 5108, 6895, 6798, 7726, 3651, 2237,
                                                        2912, 6992, 5905, 6353, 7229, 7094, 3705, 7090,
                                                        4643, 7191, 1433, 4816, 8153, 3483, 5503, 4673,
                                                        2396, 4532, 6797, 6561, 3841, 2293, 1792, 1462,
                                                        3710, 2191, 1090, 6338, 7630, 1411, 6229, 5257,
                                                        7552, 1106, 5256, 4404, 6909, 5813, 5748, 879, 6638,
                                                        7800, 7180, 7964, 7360, 2989, 7713, 7308, 716, 6873,
                                                        5214, 6545, 5454, 4014, 5916, 1757, 425, 1507, 6051,
                                                        4490, 7141, 4103, 7743, 4843, 2086, 3643, 3037,
                                                        3698, 5726, 5668, 3833, 5314, 2995, 1439, 2704,
                                                        3904, 3031, 2596, 930, 6793, 5869, 3183, 7108, 495,
                                                        1135, 2693, 6099, 3589, 1533, 7493, 4718, 2104,
                                                        5594, 7652, 3728, 2565, 5787, 3961, 3218, 7182,
                                                        5879, 5607, 3857, 3128, 7215, 7315, 1377, 1951,
                                                        2366, 115, 7744, 7224, 3939, 1170, 6855, 4389, 6498,
                                                        2501, 1944, 4602, 4080, 4027, 1315, 7318, 4249,
                                                        4583, 3302, 4654, 585, 6919, 5197, 2625, 5883, 1670,
                                                        666, 7787, 3692, 3410, 5055, 4955, 8126, 6160, 6434,
                                                        3385, 7048, 262, 8058, 2304, 348, 4335, 2024, 908,
                                                        873, 4713, 1721, 5849, 4744, 5910, 6146
                                                    },
                                                    new[]
                                                    {
                                                        293, 6173, 2919, 5004, 4963, 1519, 5745, 3523, 3494,
                                                        1138, 7867, 1562, 2344, 2892, 3047, 8153, 4771,
                                                        5562, 7237, 2600, 7900, 4245, 957, 7166, 958, 5328,
                                                        5392, 6132, 7549, 7245, 65, 705, 2953, 7961, 5986,
                                                        1839, 2089, 5341, 7855, 228, 3118, 4043, 7465, 4157,
                                                        7217, 6189, 3854, 8103, 2596, 461, 754, 5742, 1278,
                                                        2348, 3039, 7964, 6273, 3325, 1336, 780, 892, 5964,
                                                        4650, 6705, 7694, 5578, 7016, 7702, 3322, 6251,
                                                        5913, 2507, 3263, 3246, 6490, 6230, 7206, 6161,
                                                        1161, 6841, 8151, 4116, 6200, 1740, 7592, 7437, 288,
                                                        4409, 6312, 2130, 1152, 6676, 7635, 5327, 498, 1212,
                                                        3303, 2514, 3538, 1794, 1946, 3993, 2613, 5638,
                                                        7771, 570, 4064, 1173, 1805, 3344, 7617, 1570, 3306,
                                                        2630, 6047, 6443, 992, 5760, 561, 3378, 978, 8145,
                                                        2037, 3037, 5433, 6261, 5092, 4819, 7679, 2135,
                                                        7704, 1748, 7499, 4571, 8047, 3615, 7338, 6655,
                                                        1469, 7527, 4481, 5534, 6679, 24, 1464, 6700, 7280,
                                                        657, 409, 1784, 7144, 3089, 1502, 5516, 6695, 6691,
                                                        3932, 8055, 5960, 4658, 7685, 4150, 2903, 152, 37,
                                                        3407, 5230, 7436, 3616, 3465, 4130, 4950, 1901,
                                                        2636, 1631, 5395, 5734, 5542, 4704, 1999, 2921,
                                                        7426, 3610, 3999, 6424, 6391, 8042, 5288, 6450, 163,
                                                        1929, 2849, 1379, 2577, 6953, 6218, 6587, 3657,
                                                        2879, 548, 4090, 1557, 997, 917, 5799, 1782, 5105,
                                                        7761, 59, 5395, 493, 61, 5752, 3702, 3208, 598,
                                                        2022, 6048, 6220, 1208, 3553, 1525, 1934, 8184,
                                                        4399, 1880, 3014, 6954, 6048, 4608, 4291, 997, 6922,
                                                        3351, 4126, 6300, 1225, 821, 2221, 941, 1, 1507,
                                                        7439, 4840, 2703, 2576, 623, 8129, 143, 3107, 731,
                                                        7840, 4218, 5445, 6333
                                                    },
                                                    new[]
                                                    {
                                                        5567, 1075, 3251, 1664, 5642, 4012, 1078, 5735,
                                                        2558, 3606, 6481, 4213, 4396, 1784, 7800, 1052,
                                                        2623, 2938, 4790, 6955, 6965, 4769, 1087, 4700, 935,
                                                        310, 5797, 3870, 3038, 6683, 5799, 5399, 1499, 244,
                                                        7726, 2527, 8037, 7688, 4005, 4430, 4122, 3334,
                                                        3418, 6680, 1547, 672, 7042, 7389, 5605, 721, 6763,
                                                        6933, 490, 6788, 1684, 5006, 5995, 6793, 3794, 7198,
                                                        3956, 568, 6413, 475, 5957, 1838, 2314, 2055, 3533,
                                                        6477, 4834, 5273, 2727, 1638, 7532, 8032, 7566,
                                                        3259, 6066, 1671, 1670, 2774, 1396, 2796, 7803,
                                                        3122, 5711, 1828, 5623, 1783, 731, 2811, 3282, 6098,
                                                        729, 7341, 145, 3860, 2558, 4734, 362, 234, 5953,
                                                        1313, 6628, 798, 4329, 3535, 622, 1752, 1403, 6690,
                                                        6788, 1356, 7667, 817, 4714, 1702, 6507, 2895, 71,
                                                        262, 441, 2938, 2512, 8088, 188, 1878, 8093, 5581,
                                                        2286, 5530, 5174, 1659, 2702, 1011, 6036, 8084, 326,
                                                        545, 4372, 170, 3739, 3888, 3823, 3769, 2035, 3471,
                                                        2969, 1045, 7677, 3004, 723, 2016, 5738, 3087, 6030,
                                                        239, 6321, 5712, 8036, 4868, 5501, 5950, 5984, 827,
                                                        3397, 5810, 3398, 4917, 4810, 2302, 4775, 2031,
                                                        1740, 1463, 5683, 3856, 7966, 6519, 1149, 3968,
                                                        1781, 5466, 2129, 98, 398, 5388, 2263, 5866, 6015,
                                                        4530, 7880, 2583, 257, 2187, 7963, 2571, 3560, 2799,
                                                        7904, 6583, 6419, 5108, 2527, 7085, 557, 4882, 1419,
                                                        2843, 6148, 2537, 2509, 3626, 5226, 7205, 5557,
                                                        6143, 1965, 7119, 7657, 4482, 3242, 6582, 7729,
                                                        7236, 7179, 5091, 7108, 7173, 2251, 5887, 1397,
                                                        2130, 1918, 341, 1402, 781, 8058, 2032, 7431, 5294,
                                                        214, 5748, 8181, 1056, 694, 816, 4903, 3533, 1983,
                                                        114, 743, 6763, 3108
                                                    },
                                                    new[]
                                                    {
                                                        4706, 3548, 4891, 6551, 6048, 3138, 4856, 4906,
                                                        4384, 7198, 4347, 3909, 4844, 2974, 612, 1537, 7642,
                                                        5619, 7158, 6945, 2603, 1519, 6923, 560, 6790, 6665,
                                                        4467, 7728, 3315, 2319, 7396, 2360, 4453, 4795,
                                                        1993, 5381, 5321, 1442, 4809, 7875, 2407, 2143,
                                                        2927, 5645, 1178, 2852, 341, 7453, 6103, 2267, 661,
                                                        29, 6795, 4168, 2888, 4915, 2669, 6717, 336, 771,
                                                        5242, 1705, 1911, 3515, 6102, 2683, 1576, 2955,
                                                        4333, 4664, 3585, 7289, 849, 369, 6719, 232, 5395,
                                                        1109, 1202, 224, 5124, 6304, 4046, 3421, 2279, 5570,
                                                        1623, 1043, 1681, 6870, 4723, 2469, 2535, 4382,
                                                        1022, 1632, 1273, 2941, 4232, 6340, 6121, 752, 268,
                                                        7034, 6418, 1, 3369, 4958, 7031, 62, 7079, 6902,
                                                        291, 6801, 2055, 5031, 4328, 1347, 4317, 4486, 2345,
                                                        82, 3280, 2190, 2779, 5002, 6825, 2162, 6798, 8191,
                                                        1464, 3215, 2062, 7409, 3238, 1959, 7497, 5067,
                                                        2221, 4156, 764, 4481, 6222, 3595, 1987, 7278, 8017,
                                                        2573, 6768, 1226, 2846, 4057, 6258, 4560, 2289,
                                                        5759, 7221, 7927, 3673, 5351, 7482, 3008, 3899,
                                                        3233, 2222, 5074, 6939, 3585, 4381, 1272, 1098,
                                                        4510, 6960, 2862, 1928, 5392, 7195, 4971, 7025,
                                                        2190, 5065, 3559, 7737, 7178, 2688, 577, 3892, 2464,
                                                        7230, 5962, 7151, 3610, 776, 2343, 6071, 2579, 1562,
                                                        1510, 2397, 3997, 6317, 1750, 3510, 3529, 2876,
                                                        6145, 4370, 7399, 3819, 2867, 6149, 7524, 4651,
                                                        6673, 3788, 7140, 5961, 5104, 6594, 7307, 1255,
                                                        4705, 1569, 1801, 1, 5203, 6350, 559, 3341, 7576,
                                                        2938, 971, 3701, 1800, 6751, 799, 3547, 2228, 2815,
                                                        5368, 663, 3707, 7723, 5806, 5651, 856, 3372, 6473,
                                                        6276, 6724, 2535, 5831, 8077, 5936, 1689
                                                    },
                                                    new[]
                                                    {
                                                        3496, 5002, 6573, 6809, 1502, 6276, 264, 3537, 5842,
                                                        274, 3590, 1409, 466, 7969, 5733, 5561, 3744, 2855,
                                                        4966, 7720, 3159, 6697, 3509, 8125, 5061, 1286,
                                                        4172, 6377, 8023, 1003, 6045, 377, 7244, 8028, 2390,
                                                        296, 1911, 6265, 6777, 1185, 7194, 3605, 5134, 3894,
                                                        3035, 4866, 5462, 5839, 5624, 6222, 8015, 202, 4867,
                                                        1948, 6322, 6842, 3743, 7715, 6330, 2558, 7500,
                                                        2749, 5026, 7121, 44, 5049, 4833, 4825, 8078, 7173,
                                                        1820, 4751, 4172, 7912, 3324, 8013, 6003, 7827,
                                                        7795, 415, 8009, 2401, 7806, 6229, 5664, 96, 7494,
                                                        4433, 6464, 524, 167, 7947, 2693, 2825, 4941, 5099,
                                                        4004, 8096, 104, 2298, 6371, 1338, 6956, 4047, 72,
                                                        4741, 7300, 2905, 6868, 876, 4037, 3020, 789, 5232,
                                                        8103, 955, 2325, 155, 4819, 664, 3083, 8043, 526,
                                                        1992, 2791, 2557, 261, 2659, 8164, 5314, 7029, 3006,
                                                        4550, 482, 8149, 1706, 6946, 4504, 1585, 2018, 1620,
                                                        6959, 2158, 1921, 117, 1637, 3998, 4956, 7512, 7415,
                                                        3936, 6952, 4339, 4577, 2703, 8016, 5409, 7937,
                                                        3510, 66, 7765, 4063, 4761, 4447, 1209, 5771, 2182,
                                                        5874, 7112, 6992, 2153, 6858, 3916, 2423, 7993,
                                                        5275, 6842, 7148, 3507, 4077, 787, 5043, 5858, 8128,
                                                        3372, 7867, 867, 8029, 1934, 5645, 956, 7405, 5912,
                                                        2752, 7092, 5562, 6564, 49, 5599, 6497, 4996, 5136,
                                                        509, 400, 4142, 477, 5958, 453, 4063, 7628, 4378,
                                                        1179, 4228, 1790, 6444, 6641, 2876, 374, 1603, 2898,
                                                        7804, 1646, 7120, 540, 1043, 1567, 4463, 1556, 2331,
                                                        1115, 3362, 7170, 1480, 3675, 1062, 6668, 6427,
                                                        3892, 5620, 1465, 4385, 7899, 5680, 1782, 2872,
                                                        3595, 2171, 3068, 849, 6048, 3058, 3885, 2402, 5701,
                                                        987
                                                    },
                                                    new[]
                                                    {
                                                        7458, 2671, 6672, 5150, 5812, 6455, 330, 6943, 4354,
                                                        4498, 5419, 101, 4902, 6076, 4990, 1881, 5793, 4926,
                                                        605, 247, 1524, 5039, 4041, 8069, 7699, 1404, 5273,
                                                        7576, 5814, 6630, 2997, 1520, 444, 5441, 1991, 1825,
                                                        5276, 2873, 8065, 4764, 3418, 293, 1920, 1076, 316,
                                                        2834, 6722, 744, 3614, 4149, 1829, 3341, 4949, 72,
                                                        7162, 2747, 6219, 1350, 7685, 7968, 124, 396, 6106,
                                                        2405, 5748, 5602, 7190, 6190, 907, 4622, 107, 3374,
                                                        3767, 6783, 6761, 2410, 3764, 7420, 320, 2866, 7597,
                                                        269, 3829, 999, 2199, 3835, 1179, 751, 5487, 2952,
                                                        4075, 7853, 5861, 7477, 3456, 3954, 3672, 6496,
                                                        3603, 24, 7581, 2177, 5705, 3314, 213, 565, 4465,
                                                        5522, 7531, 5196, 196, 4235, 1522, 3214, 6665, 1317,
                                                        4898, 7287, 7649, 5856, 7644, 6111, 2500, 6428,
                                                        7647, 2015, 7734, 1558, 3812, 210, 1292, 2979, 5405,
                                                        7973, 7525, 7665, 333, 1012, 3399, 2797, 865, 304,
                                                        4125, 5049, 4289, 1940, 2256, 3351, 1855, 2888,
                                                        5001, 1948, 1885, 215, 2799, 7111, 7078, 6603, 5350,
                                                        5376, 7003, 5420, 3895, 4471, 2009, 7257, 5213,
                                                        8070, 1556, 6257, 7634, 2503, 7170, 5246, 7435,
                                                        2012, 2221, 4729, 5466, 4896, 6379, 2214, 3653,
                                                        4964, 5390, 816, 7571, 5760, 5158, 1107, 4157, 6017,
                                                        4043, 781, 6928, 4224, 4791, 7505, 7073, 4130, 689,
                                                        4607, 1385, 4969, 7864, 2385, 1213, 1973, 5446,
                                                        6305, 3538, 398, 595, 228, 3270, 8002, 3088, 4985,
                                                        1171, 4334, 7951, 6043, 7641, 2229, 1960, 3054,
                                                        7446, 5988, 6173, 8098, 4590, 4492, 7545, 3435, 354,
                                                        1210, 7060, 6090, 6485, 6143, 4823, 2879, 1907,
                                                        5319, 2780, 6736, 4034, 4632, 6757, 2394, 233, 148,
                                                        3806, 7260, 5181
                                                    },
                                                    new[]
                                                    {
                                                        4772, 2334, 4215, 1617, 752, 1869, 3579, 8167, 241,
                                                        7490, 7827, 2478, 5574, 8161, 6933, 2564, 5264,
                                                        4307, 2611, 6373, 397, 5940, 713, 3497, 3668, 2367,
                                                        5856, 2472, 6571, 861, 7071, 4499, 6442, 4521, 4525,
                                                        2492, 1998, 6992, 7686, 4694, 4011, 5045, 4400,
                                                        5842, 4787, 4277, 6169, 3527, 6962, 3116, 7835,
                                                        5647, 1129, 4776, 3276, 3052, 1418, 3689, 5299,
                                                        7344, 5280, 4582, 5152, 2552, 6937, 1958, 6144,
                                                        2506, 2657, 2368, 3632, 4960, 7096, 1844, 5154,
                                                        3726, 1790, 4041, 2258, 4075, 7633, 7025, 6924, 670,
                                                        4658, 5095, 8127, 8016, 5142, 5536, 7447, 6419,
                                                        6865, 1343, 2054, 5814, 2097, 6564, 1953, 6274,
                                                        5593, 5207, 2104, 8043, 841, 5052, 3339, 5619, 1026,
                                                        3331, 3974, 708, 7773, 246, 1885, 2835, 2468, 3747,
                                                        6888, 5242, 8003, 3059, 6892, 6589, 4960, 505, 3374,
                                                        1945, 7798, 7260, 634, 3151, 5765, 3827, 3392, 1471,
                                                        6470, 5822, 7710, 1719, 7778, 3245, 7621, 7682,
                                                        5326, 683, 895, 1473, 1461, 1605, 3801, 5486, 3012,
                                                        4852, 612, 3319, 7411, 4847, 7171, 1647, 7686, 1432,
                                                        3377, 3906, 5262, 6192, 1332, 7894, 8176, 5698,
                                                        7119, 61, 6058, 5005, 6474, 4429, 1864, 2097, 2098,
                                                        6305, 751, 1068, 5667, 1627, 5370, 1605, 3481, 6211,
                                                        2446, 3213, 5746, 7383, 5036, 4491, 5476, 4871,
                                                        6116, 4213, 8135, 7621, 5935, 99, 6960, 8051, 3439,
                                                        6310, 687, 3148, 3092, 2997, 7330, 270, 5101, 6304,
                                                        6607, 6454, 4952, 1390, 3101, 2599, 2454, 7700,
                                                        5746, 3378, 1334, 7620, 2445, 7552, 1516, 5049,
                                                        6051, 9, 5421, 5757, 5998, 7525, 4566, 1462, 2367,
                                                        6383, 7603, 8070, 1807, 1667, 6868, 7968, 357, 6444,
                                                        2688, 1749, 2796, 7517, 6590, 2805, 2247
                                                    },
                                                    new[]
                                                    {
                                                        8061, 315, 4883, 632, 3562, 3055, 7132, 4079, 6093,
                                                        4493, 4664, 737, 2993, 4102, 1507, 7451, 713, 4285,
                                                        1327, 5519, 5621, 6392, 287, 4692, 1805, 758, 5479,
                                                        6220, 5810, 4654, 776, 909, 3611, 3078, 2657, 3488,
                                                        7502, 4536, 3271, 1684, 3444, 4471, 1242, 6912,
                                                        7904, 1520, 4583, 2092, 6767, 6033, 5243, 5773,
                                                        4737, 6978, 4444, 2469, 164, 585, 5897, 2318, 8088,
                                                        4715, 2626, 3665, 3715, 5610, 2690, 156, 5853, 7497,
                                                        5348, 5264, 1952, 4885, 8088, 7572, 3257, 650, 2558,
                                                        4876, 4894, 8144, 5000, 241, 1495, 256, 4963, 6476,
                                                        7166, 1999, 6546, 5415, 7074, 5543, 3290, 7252,
                                                        4459, 167, 8121, 6970, 5326, 340, 3092, 3546, 3399,
                                                        7202, 991, 4865, 3559, 3082, 6837, 7803, 7802, 2857,
                                                        705, 4148, 6756, 2937, 5486, 3477, 5316, 8109, 7677,
                                                        704, 7173, 3063, 6638, 6821, 1260, 6733, 2180, 6794,
                                                        2960, 6052, 6137, 2115, 6035, 8188, 6686, 7704, 553,
                                                        1157, 1263, 8070, 1598, 4139, 6954, 5119, 6268,
                                                        4793, 91, 6750, 4049, 6946, 5835, 782, 3278, 4228,
                                                        4462, 506, 361, 2785, 4767, 6777, 2624, 3961, 7932,
                                                        5113, 4530, 5294, 1424, 1314, 3044, 244, 3584, 6722,
                                                        7178, 6510, 3450, 199, 1869, 6121, 7781, 463, 3351,
                                                        7488, 1941, 3025, 4952, 1703, 7295, 2636, 4368,
                                                        2229, 5369, 2945, 403, 8114, 1970, 3898, 5859, 5967,
                                                        6329, 4117, 6192, 4510, 5595, 6330, 1905, 5432,
                                                        1498, 2325, 1337, 8003, 7280, 7920, 5068, 3404, 343,
                                                        1371, 6108, 7582, 4118, 2461, 5821, 5064, 5475,
                                                        1499, 2279, 7689, 4023, 2526, 6150, 906, 327, 5985,
                                                        4302, 6312, 2907, 4268, 1138, 7585, 7248, 5350,
                                                        5036, 451, 662, 4107, 7853, 3013, 7171, 1033, 5766,
                                                        6304, 4648
                                                    },
                                                    new[]
                                                    {
                                                        5246, 7453, 1762, 2112, 5031, 903, 460, 5608, 7214,
                                                        4734, 3725, 7466, 5650, 6549, 7199, 4993, 4319,
                                                        7002, 740, 8105, 5775, 1034, 5590, 513, 7859, 6459,
                                                        1182, 3162, 90, 6960, 1788, 3177, 2534, 6676, 924,
                                                        3346, 2738, 825, 5064, 6458, 0, 4919, 2504, 1784,
                                                        3456, 425, 4700, 3559, 6260, 5292, 5568, 4971, 3236,
                                                        5186, 4135, 2145, 675, 7183, 3845, 3806, 7819, 7818,
                                                        8070, 4784, 2862, 4287, 7015, 4068, 2781, 5972,
                                                        3798, 289, 3118, 4807, 4169, 4984, 7778, 4792, 7830,
                                                        7003, 1800, 6193, 727, 1496, 3231, 6814, 5771, 4791,
                                                        3702, 5226, 4321, 5274, 4836, 3664, 7037, 2449, 833,
                                                        2957, 217, 1270, 6885, 1964, 4806, 6253, 5044, 5730,
                                                        1169, 7018, 1488, 1371, 3087, 929, 204, 588, 191,
                                                        6678, 1722, 6505, 7888, 3879, 2233, 4430, 3961,
                                                        1510, 6065, 1480, 898, 5596, 1315, 7166, 1900, 1771,
                                                        7331, 1621, 4338, 337, 7487, 2942, 2453, 274, 2368,
                                                        363, 5251, 3611, 8149, 6717, 1122, 3609, 5634, 4977,
                                                        6427, 1990, 5243, 6651, 1392, 7976, 7854, 7094,
                                                        5989, 900, 16, 1686, 743, 4449, 1976, 1276, 5935,
                                                        7245, 2068, 2426, 310, 3605, 5793, 7318, 7797, 741,
                                                        7843, 2825, 3903, 5008, 5016, 7598, 2447, 723, 1100,
                                                        2439, 2783, 7814, 2080, 1765, 4394, 8120, 1729,
                                                        7970, 1814, 4065, 1886, 278, 8003, 3292, 3010, 6004,
                                                        942, 5726, 4951, 3747, 2371, 5180, 4112, 4018, 6632,
                                                        3133, 3219, 1564, 2130, 1329, 4772, 7525, 3803,
                                                        2477, 978, 8113, 3633, 434, 163, 8115, 2274, 6002,
                                                        7321, 3956, 1020, 3183, 1960, 70, 3383, 6244, 7142,
                                                        1311, 7323, 2176, 2703, 1203, 4571, 5862, 2376,
                                                        6505, 5868, 4502, 533, 8170, 3173, 3154, 5461, 7572,
                                                        1151
                                                    },
                                                    new[]
                                                    {
                                                        7188, 973, 2188, 5564, 7697, 2301, 4985, 638, 1502,
                                                        280, 1116, 2327, 8188, 1252, 4573, 6280, 1349, 8103,
                                                        5910, 874, 1161, 5794, 7804, 2754, 7529, 2792, 4830,
                                                        7803, 2259, 60, 1194, 5089, 5100, 2146, 3154, 7298,
                                                        927, 1871, 6602, 2186, 5301, 4271, 2169, 7008, 3388,
                                                        3129, 7376, 1125, 2196, 6201, 2970, 7856, 2386,
                                                        6540, 1109, 7493, 2324, 406, 3041, 3900, 5910, 3879,
                                                        3485, 1523, 154, 956, 2443, 2956, 7859, 1354, 4393,
                                                        3351, 7146, 1334, 2336, 6145, 814, 1665, 34, 4409,
                                                        2164, 7223, 7947, 6232, 365, 5070, 1608, 6133, 7329,
                                                        6735, 3991, 3585, 7797, 2946, 143, 6531, 4777, 7953,
                                                        1143, 945, 8033, 4262, 6356, 6843, 2159, 8048, 5067,
                                                        3039, 3081, 2830, 795, 2467, 3236, 351, 7790, 2042,
                                                        1895, 8135, 1307, 1871, 2694, 6551, 7986, 7583, 729,
                                                        2705, 6416, 1787, 6794, 6481, 1168, 3529, 2919,
                                                        7400, 3580, 2033, 2622, 3860, 4098, 2770, 7144,
                                                        6170, 7441, 3428, 7711, 3315, 2058, 484, 8062, 118,
                                                        928, 806, 3184, 8088, 3488, 5541, 6288, 4325, 7528,
                                                        383, 654, 104, 2223, 2158, 5959, 4696, 6697, 5498,
                                                        3296, 506, 3861, 3667, 3618, 3134, 3604, 6218, 7997,
                                                        5603, 8052, 7725, 4613, 7486, 7149, 5540, 6954,
                                                        4801, 6007, 4632, 1130, 7598, 6033, 2742, 7509,
                                                        5162, 6447, 6532, 3970, 5222, 400, 1704, 7242, 5320,
                                                        8047, 7551, 4655, 3449, 4669, 3291, 2732, 7930,
                                                        5560, 7510, 3211, 653, 883, 5141, 2418, 8189, 5302,
                                                        4251, 1071, 5481, 4002, 6696, 367, 5344, 3333, 5226,
                                                        5433, 2703, 6561, 5437, 127, 418, 7774, 5960, 2005,
                                                        4886, 4492, 695, 2250, 3289, 2946, 2955, 7566, 5509,
                                                        1073, 284, 28, 5432, 6789, 1590, 3407, 114, 68
                                                    },
                                                    new[]
                                                    {
                                                        7552, 3436, 1745, 1651, 7530, 6180, 1197, 6041,
                                                        1917, 3783, 8177, 1354, 1007, 796, 5902, 8072, 1891,
                                                        3058, 3062, 7605, 3358, 2689, 2930, 7239, 6904,
                                                        6441, 36, 7982, 7613, 1301, 7809, 117, 2752, 5963,
                                                        4674, 7012, 6278, 4434, 3702, 6156, 2965, 4654, 230,
                                                        2030, 5314, 5942, 5755, 7805, 5833, 1360, 5115,
                                                        5236, 4493, 3809, 5297, 4778, 5504, 6211, 2303,
                                                        1255, 1845, 3494, 7500, 5761, 65, 901, 1808, 4086,
                                                        580, 1677, 3806, 786, 581, 5834, 2815, 7552, 612,
                                                        1735, 8085, 2540, 5445, 2177, 4313, 7713, 555, 777,
                                                        6352, 7487, 2192, 608, 6274, 3626, 1265, 4642, 7006,
                                                        1428, 3576, 5299, 6610, 2629, 1517, 3010, 7443,
                                                        8125, 1017, 5907, 1181, 2110, 5894, 5075, 7187, 477,
                                                        7058, 4712, 862, 646, 4838, 2724, 4941, 1056, 2171,
                                                        7779, 5539, 3096, 2807, 2312, 5341, 2559, 6523,
                                                        7780, 1697, 6893, 4768, 6482, 8184, 7234, 3023,
                                                        7582, 6869, 7301, 4367, 5875, 8010, 4430, 5971,
                                                        5087, 5997, 6438, 4846, 6081, 4261, 2933, 3277,
                                                        4397, 3523, 2616, 2961, 2871, 1151, 2015, 6109,
                                                        6987, 1141, 296, 602, 1307, 5751, 5951, 186, 1139,
                                                        7842, 6774, 6086, 4900, 290, 3034, 5626, 3925, 3858,
                                                        3506, 7998, 7264, 4800, 6281, 7252, 1132, 4990,
                                                        5122, 5202, 7197, 5430, 2225, 4624, 2297, 1430,
                                                        1257, 5969, 2920, 7038, 6550, 6448, 4659, 5559, 225,
                                                        7246, 2237, 4565, 1107, 4684, 4143, 7680, 3895,
                                                        6916, 3500, 6661, 4679, 382, 2661, 7678, 7358, 7166,
                                                        7524, 4187, 8101, 7904, 406, 6785, 1778, 2005, 2546,
                                                        212, 7748, 5382, 2090, 3781, 4868, 7670, 4879, 227,
                                                        2431, 5772, 4881, 8046, 7663, 3278, 7902, 7174, 756,
                                                        7418, 7712, 2463, 952, 7304, 5331, 6414
                                                    },
                                                    new[]
                                                    {
                                                        7057, 829, 268, 3891, 7967, 7009, 2585, 1239, 4005,
                                                        7424, 2837, 7066, 3596, 5224, 2555, 6882, 2486,
                                                        6804, 1224, 1491, 6984, 1750, 3701, 6136, 3594,
                                                        5076, 1367, 6105, 7360, 8011, 3653, 2252, 7683, 245,
                                                        5151, 4076, 4632, 7601, 2986, 1726, 1369, 3557,
                                                        6944, 4501, 1086, 3144, 3285, 5627, 619, 6609, 46,
                                                        7346, 7364, 773, 5403, 6351, 2210, 4939, 3852, 1791,
                                                        1548, 6944, 2987, 3653, 5303, 1091, 1601, 1987,
                                                        1911, 6063, 8033, 5601, 4821, 720, 5059, 5599, 6502,
                                                        4250, 5772, 5974, 4082, 6479, 5449, 7581, 7755,
                                                        8070, 4485, 4881, 5135, 4631, 4227, 6689, 7530, 381,
                                                        7766, 60, 528, 457, 4452, 3278, 5606, 5416, 3059,
                                                        2027, 2869, 6368, 3600, 684, 4873, 7271, 6308, 5402,
                                                        1764, 2808, 7457, 2261, 4717, 3751, 5681, 1259,
                                                        2206, 5992, 6783, 5355, 6225, 3316, 7324, 7293,
                                                        7926, 567, 4113, 3990, 4706, 7096, 7943, 653, 1536,
                                                        7051, 3939, 576, 3405, 3419, 6299, 5716, 2896, 4383,
                                                        628, 6148, 538, 534, 8129, 1025, 3839, 4194, 4381,
                                                        4704, 2184, 5644, 2489, 1319, 3756, 2492, 2821,
                                                        5105, 2787, 1883, 5523, 4505, 5606, 6388, 922, 3035,
                                                        4041, 5595, 6337, 4930, 3960, 8162, 6424, 6907,
                                                        3373, 302, 879, 664, 5960, 3839, 3821, 7556, 3941,
                                                        6929, 3183, 2948, 5250, 3993, 6641, 7431, 5109,
                                                        3136, 167, 5275, 4146, 2328, 1539, 3918, 3648, 2998,
                                                        5196, 598, 4004, 7425, 2714, 7242, 2610, 8015, 7788,
                                                        4339, 6200, 7245, 3594, 3418, 5959, 3815, 571, 277,
                                                        1958, 2327, 377, 3448, 6642, 6139, 7953, 2069, 2636,
                                                        4323, 6034, 3682, 1420, 1194, 7973, 2707, 272, 7461,
                                                        1205, 2251, 3835, 1008, 4905, 5839, 2061, 5423,
                                                        3699, 2502, 5195, 6501, 1500
                                                    },
                                                    new[]
                                                    {
                                                        4993, 3766, 4702, 3721, 1546, 814, 2629, 8143, 214,
                                                        804, 5357, 4917, 7823, 7749, 7235, 1679, 5418, 3581,
                                                        1054, 371, 6412, 6206, 4403, 7033, 8166, 4851, 622,
                                                        3365, 7716, 2648, 6856, 5758, 5391, 6733, 6901,
                                                        3654, 5038, 6654, 3256, 8107, 3326, 3288, 2158,
                                                        3429, 4313, 755, 7230, 2042, 4398, 5801, 5031, 2080,
                                                        244, 6963, 3088, 5783, 1630, 410, 7094, 3952, 2131,
                                                        662, 293, 2891, 7998, 387, 607, 257, 5053, 243,
                                                        5778, 579, 2170, 1401, 5935, 1115, 5106, 3026, 2275,
                                                        4483, 4009, 2281, 3472, 2420, 6746, 3915, 2658,
                                                        5302, 7791, 2168, 3848, 4565, 2116, 2409, 2935,
                                                        1163, 7210, 5255, 5621, 1089, 2897, 6419, 2827,
                                                        3785, 670, 635, 3897, 3496, 2610, 6964, 1080, 675,
                                                        5633, 3602, 475, 5816, 6515, 7556, 2166, 2472, 4641,
                                                        3764, 907, 1717, 1063, 6348, 5013, 7300, 1652, 2759,
                                                        4570, 6501, 344, 7671, 7211, 7658, 2415, 7381, 5740,
                                                        594, 4366, 1418, 4564, 4274, 3615, 707, 7366, 6287,
                                                        2711, 4731, 5178, 2282, 4638, 1528, 1703, 5210,
                                                        4073, 1292, 2651, 869, 1730, 1994, 1520, 6255, 2693,
                                                        2865, 7794, 3139, 102, 5182, 4075, 1789, 5387, 7882,
                                                        2566, 7973, 3918, 278, 5040, 3374, 3034, 755, 3731,
                                                        5030, 6781, 2795, 4136, 4951, 112, 3124, 5293, 6142,
                                                        5715, 5254, 2314, 4055, 6593, 6764, 6569, 1182,
                                                        4145, 5398, 6646, 2081, 6338, 1362, 6528, 6468,
                                                        1478, 2590, 4903, 4643, 7539, 3586, 306, 2386, 2003,
                                                        7505, 7765, 106, 4760, 6759, 3657, 6674, 3233, 6436,
                                                        3689, 7528, 6653, 3175, 2878, 480, 4302, 5039, 6462,
                                                        4669, 3439, 433, 3076, 3213, 1403, 709, 2862, 3117,
                                                        927, 5663, 7257, 1378, 8025, 5293, 3650, 2962, 4771,
                                                        1986, 1415
                                                    },
                                                    new[]
                                                    {
                                                        3208, 5650, 3048, 4203, 5010, 6003, 7827, 6439,
                                                        5521, 1545, 4336, 3212, 7667, 3513, 2534, 7934, 764,
                                                        376, 2246, 5730, 1109, 1584, 2726, 5922, 7716, 306,
                                                        1540, 6782, 281, 3147, 5286, 5247, 1493, 5252, 7402,
                                                        4606, 5463, 7995, 3962, 2729, 106, 2206, 5233, 3519,
                                                        3949, 426, 6367, 5359, 4749, 2402, 2964, 7304, 1581,
                                                        1195, 7552, 1060, 6969, 4430, 4689, 8144, 2701,
                                                        3861, 7902, 3227, 47, 5880, 709, 7095, 3819, 1561,
                                                        2112, 2913, 3471, 6694, 2096, 3379, 2727, 4061,
                                                        6194, 4407, 1806, 2076, 8092, 1414, 7080, 4445,
                                                        5979, 1230, 6588, 1767, 2711, 5496, 1236, 6159,
                                                        6213, 4513, 3568, 3153, 7840, 6170, 2154, 687, 1937,
                                                        7460, 2315, 3560, 4178, 1305, 3858, 7764, 1582,
                                                        2615, 1132, 3302, 3361, 5445, 1051, 5490, 2086,
                                                        7795, 405, 4851, 1104, 3834, 4955, 7158, 306, 3833,
                                                        5716, 6151, 769, 2501, 4527, 3198, 3212, 3699, 4634,
                                                        412, 126, 6644, 7342, 4302, 310, 7060, 1932, 5885,
                                                        3142, 4348, 6921, 6160, 2793, 602, 2008, 4417, 4620,
                                                        5937, 3870, 4775, 1787, 442, 2524, 3804, 7074, 7658,
                                                        5251, 608, 1662, 2450, 1305, 7233, 1941, 6301, 6382,
                                                        3020, 100, 4800, 251, 402, 4574, 4193, 3354, 5020,
                                                        6860, 4557, 3773, 6088, 2097, 3022, 7064, 3365,
                                                        3296, 5913, 7784, 1591, 615, 1475, 3894, 6805, 827,
                                                        5057, 7309, 7105, 3030, 8083, 3681, 6260, 6343,
                                                        4925, 2984, 4822, 5438, 866, 1654, 1016, 5408, 3561,
                                                        1368, 61, 6534, 7629, 3490, 5033, 1378, 4769, 736,
                                                        1548, 2487, 1683, 7747, 6799, 3793, 4474, 2799,
                                                        3573, 6733, 7769, 6260, 2434, 3585, 5612, 65, 5148,
                                                        2151, 1554, 2256, 2047, 4926, 8170, 7428, 4932,
                                                        2462, 2770, 6754, 872, 3313
                                                    },
                                                    new[]
                                                    {
                                                        7222, 6749, 951, 2288, 1345, 7856, 1061, 7561, 6527,
                                                        4168, 83, 1832, 3395, 5881, 5081, 4628, 6115, 4318,
                                                        8019, 1697, 2779, 5218, 3078, 3626, 1263, 4951,
                                                        4388, 837, 2652, 3347, 6868, 7116, 5447, 6769, 6256,
                                                        7550, 3978, 5554, 7532, 657, 1358, 7402, 3432, 8028,
                                                        2274, 5619, 5529, 2313, 1396, 5620, 1340, 5013,
                                                        4242, 6825, 6417, 4918, 1657, 68, 5859, 1866, 5845,
                                                        5679, 7474, 4703, 7312, 2971, 3284, 451, 6161, 6944,
                                                        5914, 3809, 6966, 2361, 6740, 5912, 4311, 1022,
                                                        3950, 3517, 1183, 3391, 6157, 5765, 1466, 6700,
                                                        3386, 6066, 3164, 4893, 372, 319, 6808, 7666, 3699,
                                                        228, 3934, 4849, 3960, 6782, 4647, 6969, 7302, 106,
                                                        3594, 4957, 649, 5671, 463, 3497, 2218, 4347, 319,
                                                        5501, 2605, 6948, 5964, 1009, 2689, 3981, 866, 4606,
                                                        5039, 7218, 4952, 1064, 3745, 2032, 634, 2419, 2923,
                                                        6597, 2199, 5424, 7456, 7546, 6606, 7897, 6319,
                                                        6322, 5624, 8100, 607, 7037, 1480, 2889, 6925, 787,
                                                        1820, 6256, 6782, 3226, 2113, 7082, 877, 4521, 3524,
                                                        7424, 8046, 6517, 740, 4262, 6560, 1181, 1702, 143,
                                                        5042, 5356, 3380, 7740, 6187, 5041, 7472, 3375,
                                                        5542, 3539, 3443, 3041, 1196, 3805, 6258, 3586,
                                                        3104, 2945, 1881, 7956, 2471, 2071, 6912, 2857,
                                                        2077, 1444, 8112, 1541, 2440, 7255, 2065, 4234,
                                                        1951, 5823, 2483, 2680, 7274, 205, 7447, 5361, 8036,
                                                        5572, 2902, 2566, 4067, 3483, 186, 4387, 622, 3093,
                                                        4445, 3662, 4630, 4009, 7825, 4009, 6684, 873, 904,
                                                        4844, 7662, 4051, 3354, 6760, 5016, 5563, 5802,
                                                        7491, 3794, 2573, 7433, 1857, 382, 1130, 3463, 5091,
                                                        6736, 492, 3588, 4240, 104, 6534, 4346, 2728, 8102,
                                                        670, 6082, 6615, 6441
                                                    },
                                                    new[]
                                                    {
                                                        3682, 4179, 994, 5459, 7884, 165, 5650, 4377, 5625,
                                                        757, 6482, 3610, 5969, 456, 3912, 5329, 3653, 1561,
                                                        1769, 1119, 5381, 4909, 731, 8026, 54, 6187, 7679,
                                                        2984, 1943, 7177, 4104, 6165, 1817, 7022, 5095,
                                                        7018, 62, 752, 7780, 1597, 6148, 6213, 4817, 4100,
                                                        923, 7824, 7433, 3920, 3808, 286, 6185, 3244, 5741,
                                                        6172, 4508, 5029, 3137, 4289, 5970, 7239, 1432,
                                                        4280, 7730, 3159, 2765, 4064, 7838, 1212, 593, 894,
                                                        3268, 7122, 8185, 3575, 6967, 2213, 1918, 4096,
                                                        7976, 7214, 787, 7892, 4162, 3926, 1006, 1798, 2716,
                                                        4511, 1737, 8154, 2309, 7632, 131, 8058, 4920, 2044,
                                                        2363, 3783, 2444, 2889, 546, 717, 7795, 2944, 7061,
                                                        4705, 6038, 4805, 1881, 2451, 3995, 6147, 440, 89,
                                                        4449, 6355, 1481, 1785, 7794, 8115, 6483, 7712,
                                                        3125, 2208, 4483, 889, 6415, 5184, 1395, 8061, 5412,
                                                        2868, 3958, 1414, 725, 7701, 6110, 5699, 8023, 192,
                                                        6223, 7587, 127, 7395, 4671, 7199, 5970, 843, 5329,
                                                        6893, 552, 3011, 501, 919, 2714, 6486, 2910, 7122,
                                                        4022, 5294, 5458, 290, 471, 4377, 1352, 1688, 6713,
                                                        1756, 268, 7047, 7091, 875, 4073, 4104, 3300, 5730,
                                                        5005, 2381, 669, 4232, 2977, 7973, 5119, 3922, 3897,
                                                        2517, 5951, 6801, 6336, 4477, 1290, 2097, 7719, 216,
                                                        1723, 3485, 7380, 7434, 653, 6960, 904, 1654, 1635,
                                                        8108, 3496, 850, 4480, 390, 7103, 5078, 7263, 2098,
                                                        4259, 7140, 1014, 2791, 1671, 578, 282, 779, 1591,
                                                        7115, 2313, 5223, 5551, 5835, 1713, 7883, 5398,
                                                        3131, 6074, 322, 2468, 6348, 4987, 175, 7490, 56,
                                                        450, 3444, 102, 6269, 4807, 5720, 5848, 5189, 7704,
                                                        4853, 8124, 6539, 6893, 6170, 7487, 6841, 5659
                                                    },
                                                    new[]
                                                    {
                                                        8170, 846, 3047, 6577, 3052, 3863, 3506, 4612, 5896,
                                                        749, 3086, 6443, 2622, 178, 6903, 625, 7586, 2450,
                                                        7144, 7809, 2180, 7361, 4017, 935, 516, 1507, 2692,
                                                        3938, 7764, 1354, 3028, 2357, 259, 7511, 7903, 7119,
                                                        7266, 1641, 7088, 1707, 6393, 5250, 1692, 2240,
                                                        5468, 7177, 6089, 7574, 3853, 6391, 3214, 6928,
                                                        3335, 7518, 7284, 4884, 6328, 1869, 4119, 2443,
                                                        4020, 849, 3431, 4682, 1349, 2401, 7782, 202, 4509,
                                                        3356, 624, 2944, 5096, 8020, 5306, 3344, 5404, 4912,
                                                        973, 6659, 3499, 4709, 2342, 984, 2156, 2706, 426,
                                                        6714, 6430, 4742, 7286, 3648, 1951, 1013, 7534,
                                                        4169, 6754, 363, 2116, 3358, 3362, 7022, 3117, 7960,
                                                        2858, 5151, 1792, 1291, 2404, 73, 6790, 758, 3666,
                                                        6975, 7014, 5692, 4925, 6594, 4504, 7969, 7374, 772,
                                                        7915, 451, 5021, 4261, 6688, 4345, 5209, 2385, 5908,
                                                        3879, 4760, 6092, 6646, 3458, 7893, 113, 3873, 4352,
                                                        5446, 4944, 2429, 4963, 7359, 6166, 4236, 850, 1472,
                                                        5052, 2048, 3168, 6894, 5661, 1174, 2364, 3195,
                                                        5664, 5052, 5664, 4942, 1825, 4746, 1425, 2554,
                                                        7849, 3745, 5180, 3855, 5942, 2616, 2376, 4424,
                                                        3359, 5282, 5514, 6000, 5998, 6235, 6163, 7801, 825,
                                                        1039, 4009, 2966, 7788, 4238, 144, 4214, 5700, 6418,
                                                        5225, 104, 7817, 6000, 4234, 927, 4318, 4831, 2249,
                                                        1898, 4688, 6561, 5041, 765, 3455, 5709, 7704, 1122,
                                                        5243, 4350, 4862, 6189, 4818, 839, 4224, 2225, 6643,
                                                        2383, 788, 7377, 6111, 1033, 8039, 7245, 4500, 1261,
                                                        711, 6374, 2599, 1374, 286, 5685, 3449, 1577, 6218,
                                                        1112, 7168, 1984, 7934, 121, 3337, 4782, 1641, 5471,
                                                        6315, 3685, 915, 59, 1146, 4125, 5492, 3639, 3081,
                                                        7018
                                                    },
                                                    new[]
                                                    {
                                                        7624, 5336, 1862, 1070, 5345, 3163, 5995, 2606,
                                                        5782, 356, 3092, 2221, 7858, 4970, 6574, 3605, 4411,
                                                        231, 37, 3283, 2773, 4333, 6328, 6030, 7310, 7681,
                                                        7219, 4624, 5006, 5118, 5702, 425, 530, 6455, 1500,
                                                        2749, 4594, 3287, 5042, 1734, 241, 3541, 2962, 3630,
                                                        1661, 6798, 1607, 1288, 5950, 2357, 4380, 900, 5737,
                                                        5697, 6754, 4582, 4711, 4777, 6214, 5989, 8184, 274,
                                                        1481, 3256, 1571, 1920, 5457, 6250, 5563, 380, 4888,
                                                        5134, 5728, 5778, 1485, 7175, 1555, 2573, 181, 7353,
                                                        6041, 3118, 943, 4212, 1384, 5005, 5605, 5990, 8026,
                                                        8080, 4226, 5230, 7793, 4731, 1095, 2474, 715, 7166,
                                                        3859, 5248, 4721, 6, 6520, 3059, 7149, 7237, 4297,
                                                        7935, 7653, 7056, 1552, 6717, 2981, 448, 3198, 7735,
                                                        7467, 4270, 6202, 812, 2298, 2531, 6965, 8000, 7731,
                                                        5441, 7028, 7540, 4924, 8165, 4017, 1860, 7543,
                                                        4594, 5020, 940, 1830, 1, 2721, 2206, 6063, 7066,
                                                        3804, 561, 2022, 5689, 4769, 7500, 7869, 7520, 5919,
                                                        6878, 6992, 3441, 1040, 7848, 5677, 3981, 4636,
                                                        3747, 7085, 693, 6699, 598, 5170, 2150, 2046, 1245,
                                                        1197, 895, 6552, 6718, 7713, 6691, 8020, 2690, 3615,
                                                        5053, 5390, 6591, 657, 1266, 2342, 4046, 3356, 2532,
                                                        6496, 1000, 116, 5063, 6989, 5345, 2073, 7047, 2524,
                                                        6935, 7721, 6140, 4081, 7259, 2227, 5381, 3254,
                                                        5495, 7474, 28, 7826, 4823, 5854, 6210, 7047, 226,
                                                        615, 5391, 7586, 7715, 7431, 6594, 1626, 474, 7477,
                                                        3491, 2507, 7622, 8154, 2357, 1663, 3767, 7430,
                                                        2808, 2748, 4427, 7394, 2207, 7330, 2347, 7581,
                                                        1408, 2745, 6184, 4426, 3575, 1154, 7199, 1618, 970,
                                                        4530, 5145, 7706, 2097, 4330, 2570, 1114, 2795, 7794
                                                    },
                                                    new[]
                                                    {
                                                        4608, 3397, 1125, 1301, 7819, 7890, 1805, 4929,
                                                        4967, 831, 5089, 6129, 6695, 375, 5800, 421, 7507,
                                                        3034, 3695, 7917, 7337, 4847, 6736, 1027, 940, 5204,
                                                        2075, 6343, 1988, 7583, 55, 4831, 6329, 7566, 4459,
                                                        6064, 5279, 3213, 3605, 1207, 7818, 360, 2146, 7492,
                                                        2393, 1035, 3174, 7964, 6665, 4692, 7460, 2023,
                                                        7974, 6206, 3903, 5926, 4527, 5284, 2640, 5054,
                                                        6464, 8190, 1986, 1099, 5656, 2333, 5262, 5091, 464,
                                                        5136, 7015, 5199, 7716, 402, 1957, 70, 5004, 2617,
                                                        5548, 6795, 1327, 5057, 5, 3669, 2839, 6227, 6322,
                                                        751, 617, 6024, 2789, 5189, 630, 3734, 6082, 1145,
                                                        8133, 3056, 454, 5235, 6072, 4398, 4408, 4630, 2793,
                                                        615, 900, 7673, 501, 4115, 6078, 4808, 3560, 1449,
                                                        2679, 2370, 4596, 5173, 6316, 1049, 7351, 6446,
                                                        1112, 1085, 4404, 2822, 5957, 4035, 7409, 4880,
                                                        3983, 4750, 7312, 3316, 2781, 6408, 3587, 3516, 766,
                                                        1586, 4278, 7718, 2579, 1864, 3691, 7676, 3004,
                                                        3464, 6706, 8059, 6, 8186, 5601, 7316, 6842, 5559,
                                                        3423, 7739, 6533, 4789, 38, 6555, 7968, 2734, 4433,
                                                        5744, 2257, 2774, 5322, 5957, 5891, 2678, 223, 3375,
                                                        2222, 5024, 2891, 2655, 5950, 2269, 3422, 6053,
                                                        1347, 7218, 4868, 2568, 3991, 5262, 3677, 7234,
                                                        4024, 7937, 3491, 3458, 3509, 7814, 3368, 1273,
                                                        6573, 5079, 692, 5620, 335, 6498, 5865, 3029, 384,
                                                        1296, 4967, 3842, 1223, 3054, 2361, 4271, 2306,
                                                        6641, 1409, 6327, 8011, 5280, 3153, 3843, 5342,
                                                        3487, 4120, 6687, 1765, 135, 6473, 5380, 2238, 2617,
                                                        5449, 6511, 4049, 366, 6510, 1050, 5865, 5528, 5211,
                                                        3889, 6798, 5396, 5806, 921, 6717, 7318, 8074, 7059,
                                                        3187, 2953, 530, 1611, 4364
                                                    },
                                                    new[]
                                                    {
                                                        5030, 7024, 6256, 5656, 8053, 5535, 7065, 270, 6854,
                                                        3130, 410, 136, 3088, 4277, 4206, 7903, 6782, 6323,
                                                        3974, 320, 4564, 1059, 5403, 4149, 4860, 3332, 5530,
                                                        1682, 6805, 2599, 3080, 1586, 170, 6100, 4922, 2911,
                                                        7931, 2254, 6, 1931, 7251, 4428, 697, 2403, 3433,
                                                        4870, 4896, 2452, 1460, 2819, 1492, 1534, 4414,
                                                        4259, 6475, 5528, 3994, 3319, 320, 3120, 3399, 2832,
                                                        144, 2636, 2696, 5906, 987, 5944, 1517, 6808, 6024,
                                                        7397, 6880, 6910, 4066, 6801, 1437, 770, 6243, 1875,
                                                        4230, 5961, 803, 1475, 3762, 948, 3481, 5358, 3106,
                                                        5184, 5791, 1262, 3391, 708, 4395, 1675, 5965, 3607,
                                                        2045, 7091, 3302, 134, 4651, 603, 3723, 3804, 5167,
                                                        6069, 1187, 995, 182, 6450, 2911, 6983, 3333, 6735,
                                                        4518, 4928, 869, 1857, 1967, 1822, 6618, 7550, 7044,
                                                        219, 5779, 2081, 1497, 5169, 8008, 4186, 7705, 2005,
                                                        3940, 5872, 7078, 223, 1756, 357, 2194, 3913, 3445,
                                                        7929, 4899, 1496, 7265, 3028, 4841, 6914, 163, 4746,
                                                        7535, 542, 437, 6057, 1844, 3497, 3501, 7399, 1723,
                                                        1827, 3130, 6485, 7123, 4085, 673, 6762, 2813, 3286,
                                                        5458, 396, 7318, 2112, 7875, 6995, 2125, 5438, 7905,
                                                        1566, 1147, 1579, 5160, 4351, 4886, 1044, 8008,
                                                        7379, 1423, 450, 6022, 7108, 660, 7971, 774, 4014,
                                                        5956, 2943, 5131, 5039, 3460, 6908, 786, 1195, 7264,
                                                        4179, 1132, 2950, 4173, 519, 4497, 5257, 2508, 6165,
                                                        5585, 1687, 5181, 6116, 4807, 4511, 3838, 1570,
                                                        2002, 3871, 7691, 3201, 6525, 4443, 2824, 130, 2444,
                                                        5320, 1496, 6443, 4061, 2004, 1415, 6796, 1885,
                                                        1231, 6782, 3799, 5919, 7182, 5460, 4469, 2942,
                                                        5642, 6231, 7628, 2454, 1774, 1240, 204, 5391
                                                    },
                                                    new[]
                                                    {
                                                        1219, 2494, 6165, 2280, 3263, 5758, 5063, 4806,
                                                        1347, 2972, 1614, 2042, 7728, 4552, 6187, 4070,
                                                        3367, 4138, 1791, 7770, 1302, 5595, 8165, 3077,
                                                        7427, 108, 3619, 4012, 7586, 3424, 6421, 129, 859,
                                                        2990, 1243, 7435, 6294, 661, 2514, 4335, 280, 1912,
                                                        5700, 1569, 1640, 1261, 7095, 4464, 827, 6285, 2184,
                                                        1312, 6696, 4901, 5133, 7083, 3400, 3057, 4123,
                                                        1731, 6650, 7577, 4086, 877, 3641, 3234, 260, 6002,
                                                        27, 4820, 2684, 2977, 3139, 340, 7374, 7888, 3262,
                                                        2459, 464, 6779, 4215, 4798, 6180, 2348, 245, 2290,
                                                        1844, 1649, 1265, 6498, 690, 3919, 4505, 5135, 7611,
                                                        6957, 6927, 763, 3854, 6902, 1985, 5654, 5280, 3443,
                                                        4812, 6425, 1707, 3549, 5800, 5626, 3846, 505, 6064,
                                                        7494, 6970, 2409, 4321, 5006, 7199, 2847, 7214,
                                                        7527, 7617, 2871, 1229, 7317, 2179, 1341, 1573,
                                                        4653, 5926, 1283, 4318, 7959, 8183, 2592, 2191,
                                                        3895, 946, 808, 5750, 1654, 5513, 7235, 7577, 531,
                                                        27, 2497, 876, 7147, 6276, 5902, 3084, 3621, 4040,
                                                        1268, 1159, 142, 2040, 2405, 2188, 3103, 352, 1305,
                                                        4383, 3665, 2684, 1422, 8009, 4861, 1647, 5081, 177,
                                                        6656, 7551, 1788, 8038, 266, 8190, 6755, 8006, 6736,
                                                        5000, 7140, 1668, 133, 719, 4356, 4144, 7950, 1398,
                                                        2081, 6876, 1038, 4081, 2683, 1408, 3659, 5143,
                                                        3452, 1714, 177, 7136, 7388, 5372, 824, 3630, 7396,
                                                        7421, 7586, 5713, 4156, 2471, 1311, 1652, 7785,
                                                        1381, 780, 3653, 6353, 7862, 6363, 5415, 8034, 5688,
                                                        1730, 3902, 2371, 4893, 7897, 3962, 8111, 6041,
                                                        6541, 1839, 6280, 4320, 4516, 7471, 4673, 6058,
                                                        6323, 8112, 2870, 1615, 4642, 6362, 4505, 4087,
                                                        3686, 3362, 1485, 6195, 111, 2896
                                                    },
                                                    new[]
                                                    {
                                                        3963, 7315, 3152, 5179, 5852, 2426, 4173, 580, 5006,
                                                        7280, 3261, 1110, 5348, 4755, 1617, 4190, 3631,
                                                        1854, 2479, 7613, 5458, 7750, 2558, 1066, 4332, 905,
                                                        1444, 2112, 5570, 5920, 8151, 3529, 913, 7864, 658,
                                                        1847, 6195, 3821, 4553, 1761, 3163, 595, 5710, 5262,
                                                        3863, 6155, 5978, 3316, 405, 7597, 609, 6237, 3309,
                                                        7569, 4996, 90, 3446, 6624, 6077, 1452, 976, 1902,
                                                        4644, 6103, 6158, 3731, 1484, 5217, 3242, 7572,
                                                        5588, 5172, 1937, 6226, 65, 7440, 1691, 6883, 2497,
                                                        4660, 5410, 1582, 5911, 8134, 157, 682, 3630, 3999,
                                                        2275, 2886, 5724, 7415, 4451, 3499, 6619, 7880,
                                                        1304, 5692, 6758, 162, 3541, 1289, 2355, 6457, 2766,
                                                        5097, 6572, 925, 264, 6750, 3481, 2356, 3560, 5294,
                                                        3400, 4147, 8093, 2492, 4630, 5720, 7035, 8095,
                                                        6590, 7101, 7108, 1139, 2568, 442, 1687, 4310, 6486,
                                                        2440, 6592, 5184, 5258, 3728, 6985, 3396, 1169,
                                                        1727, 989, 6515, 3133, 7746, 1956, 918, 7953, 3130,
                                                        6279, 5949, 5114, 4131, 4263, 2058, 1519, 449, 2034,
                                                        7723, 6270, 3475, 7012, 4596, 455, 2107, 4253, 1917,
                                                        2602, 61, 1201, 7052, 1567, 6537, 7318, 6497, 4738,
                                                        7903, 5469, 2938, 4356, 6453, 3619, 417, 2269, 7907,
                                                        1423, 1236, 3876, 5376, 5332, 7836, 6473, 3668,
                                                        2768, 4768, 7457, 6298, 7109, 1192, 2864, 2622,
                                                        3023, 880, 3279, 7498, 7257, 4613, 624, 1626, 1806,
                                                        8104, 3735, 4509, 3788, 2998, 446, 1993, 3167, 8097,
                                                        5170, 4183, 1620, 6615, 7667, 8016, 4462, 1426,
                                                        2551, 5265, 3746, 295, 2177, 2805, 4022, 2251, 6555,
                                                        1345, 5936, 4975, 4011, 8141, 5603, 113, 5219, 5002,
                                                        4460, 7050, 7672, 1927, 5232, 7150, 905, 4375, 3259,
                                                        6659, 5145
                                                    },
                                                    new[]
                                                    {
                                                        7279, 4586, 5497, 2750, 4332, 5019, 4497, 2582,
                                                        2416, 5521, 4315, 2881, 7123, 309, 4366, 4738, 7524,
                                                        4937, 5050, 819, 2814, 6400, 7696, 8089, 6249, 4334,
                                                        6921, 1234, 1881, 7159, 4575, 2073, 2289, 5640, 636,
                                                        4873, 8154, 4262, 2221, 5504, 1278, 3985, 5354,
                                                        4963, 517, 7904, 1077, 1242, 4225, 2855, 3659, 782,
                                                        8001, 5993, 1653, 4182, 7706, 3503, 6433, 4361,
                                                        2026, 5563, 607, 134, 6933, 7991, 1438, 2519, 7476,
                                                        2083, 6880, 7857, 473, 7688, 2678, 3841, 3366, 1507,
                                                        4658, 1018, 562, 7382, 1596, 7403, 3899, 2002, 2003,
                                                        2041, 222, 1637, 5010, 7166, 6122, 487, 6937, 5994,
                                                        2676, 6182, 212, 4188, 6627, 3203, 114, 8024, 5864,
                                                        7928, 7265, 3794, 7745, 6531, 2123, 2547, 7289,
                                                        1034, 5384, 4440, 2513, 7492, 7272, 5367, 1109,
                                                        4255, 6001, 2170, 1780, 2664, 2980, 6899, 2646,
                                                        5350, 4562, 4520, 1952, 4042, 1675, 4660, 2925,
                                                        7357, 5953, 3274, 3033, 863, 3832, 2066, 3338, 3449,
                                                        2756, 3729, 3716, 1832, 5734, 7541, 4281, 1880,
                                                        7713, 2364, 7983, 3483, 7885, 1123, 1296, 4463,
                                                        2971, 1390, 7208, 7128, 5739, 4056, 5415, 3941, 891,
                                                        3803, 7326, 7151, 149, 667, 1681, 2893, 6627, 2116,
                                                        5488, 468, 5657, 3341, 3603, 5263, 4178, 4771, 302,
                                                        1169, 5404, 5693, 5567, 4377, 6863, 1595, 325, 5241,
                                                        2992, 7093, 6408, 2022, 876, 6872, 7135, 3754, 6658,
                                                        1840, 6394, 5019, 4850, 1636, 3793, 1737, 1170,
                                                        5091, 2239, 6808, 1259, 3437, 1445, 1987, 6775,
                                                        6981, 3276, 3484, 2588, 5351, 4800, 6066, 1486, 708,
                                                        2411, 912, 2294, 8168, 2368, 4660, 281, 5451, 7173,
                                                        7998, 1783, 6409, 4879, 3404, 4246, 1828, 1506,
                                                        4243, 5261, 3108, 6429, 6085, 2696
                                                    },
                                                    new[]
                                                    {
                                                        2208, 6894, 5579, 283, 7276, 805, 7796, 6266, 2949,
                                                        1687, 5642, 1882, 2540, 600, 1835, 3309, 6705, 3685,
                                                        7420, 1007, 8006, 270, 2385, 6041, 7849, 1101, 752,
                                                        1471, 1155, 2308, 2405, 3031, 4613, 7381, 6143,
                                                        7333, 1300, 3384, 4466, 5536, 3233, 7421, 5053,
                                                        1767, 3852, 1785, 2289, 5277, 587, 1695, 3582, 216,
                                                        3032, 7076, 5691, 4152, 313, 6097, 7896, 900, 4492,
                                                        2470, 1317, 5426, 5479, 2679, 3734, 3165, 945, 457,
                                                        7557, 1375, 3424, 8007, 2564, 7227, 2920, 279, 2154,
                                                        1369, 1062, 5795, 5314, 1049, 278, 7862, 6196, 6003,
                                                        702, 1903, 5446, 4624, 1408, 616, 1721, 2355, 4740,
                                                        4566, 7673, 8088, 2271, 5351, 5027, 5313, 5757,
                                                        1213, 1647, 1054, 5378, 5962, 1646, 121, 4347, 7682,
                                                        1060, 5475, 893, 6949, 5647, 5757, 2018, 7873, 4219,
                                                        3448, 7086, 6633, 1686, 3252, 819, 2109, 965, 6941,
                                                        1331, 2089, 7785, 179, 7305, 545, 6350, 3405, 4974,
                                                        6961, 5553, 3424, 601, 7017, 5344, 5957, 1249, 5523,
                                                        4516, 1880, 1385, 1670, 4080, 3686, 6908, 2556,
                                                        7544, 2625, 8004, 770, 6742, 2371, 1655, 672, 6424,
                                                        7128, 2242, 132, 484, 3465, 2917, 2385, 5136, 6330,
                                                        3733, 2350, 2788, 4806, 1944, 3840, 3191, 5447, 780,
                                                        6606, 4454, 7865, 7770, 106, 5902, 3473, 1739, 5787,
                                                        3298, 7570, 3973, 4507, 6033, 5888, 5048, 6101,
                                                        7500, 7624, 5666, 4601, 354, 454, 6887, 1813, 1504,
                                                        3984, 7317, 2891, 5792, 246, 2375, 7195, 8161, 2352,
                                                        4938, 1594, 5007, 5052, 1276, 840, 90, 3022, 4826,
                                                        6482, 1050, 37, 4708, 3897, 7145, 7561, 5205, 669,
                                                        3977, 4207, 1706, 1802, 4167, 6763, 2273, 6069,
                                                        5684, 2413, 8100, 7518, 5085, 7697, 620, 960, 1655
                                                    },
                                                    new[]
                                                    {
                                                        3064, 7080, 5917, 624, 5902, 500, 4907, 6867, 6159,
                                                        5697, 850, 2812, 2166, 7971, 7758, 3492, 3498, 3203,
                                                        6413, 4479, 7425, 5797, 629, 2847, 3075, 6833, 1512,
                                                        945, 6445, 6687, 862, 7674, 8121, 8154, 1548, 5550,
                                                        562, 2233, 37, 2003, 3801, 4473, 3324, 5774, 7951,
                                                        7802, 1099, 6488, 725, 3567, 6254, 6368, 1556, 2061,
                                                        7644, 1567, 6242, 4432, 5435, 3693, 5809, 6780,
                                                        4282, 1374, 7543, 4081, 958, 7299, 211, 7, 5914,
                                                        8003, 447, 5039, 8154, 4977, 1843, 7942, 571, 1926,
                                                        2065, 3191, 5319, 863, 7862, 4132, 7638, 6947, 2385,
                                                        1993, 5717, 3825, 2978, 2198, 7455, 5539, 1525,
                                                        7409, 5073, 4337, 4283, 5418, 2106, 2193, 1154,
                                                        7215, 5567, 7421, 6003, 6461, 7032, 7438, 6516,
                                                        1825, 1630, 8101, 1978, 6452, 4335, 5286, 4829,
                                                        6865, 3478, 5189, 6205, 135, 338, 5597, 901, 5098,
                                                        5788, 931, 3990, 6204, 1452, 7199, 7837, 7164, 5422,
                                                        6567, 7267, 1367, 5547, 4953, 7932, 3155, 7108,
                                                        1387, 2228, 7405, 6599, 24, 4718, 1104, 8025, 1794,
                                                        3372, 3408, 5983, 2261, 629, 6873, 5284, 5138, 4717,
                                                        3550, 164, 603, 1965, 4931, 7879, 6986, 7895, 4883,
                                                        7182, 1240, 2992, 1486, 6891, 1888, 4849, 5619,
                                                        8116, 1516, 7045, 4520, 7185, 6330, 4096, 6004,
                                                        5606, 6845, 1505, 1713, 2216, 2524, 5449, 3673, 890,
                                                        6057, 2501, 5776, 6894, 5322, 6227, 762, 4280, 5996,
                                                        8041, 6514, 5161, 2505, 424, 2650, 6127, 4541, 1159,
                                                        2841, 6593, 2437, 1030, 3630, 4552, 789, 4649, 7967,
                                                        5986, 1952, 5264, 7398, 7162, 2615, 2956, 936, 4065,
                                                        1224, 6507, 2631, 4831, 4106, 2308, 2489, 6502,
                                                        3858, 6879, 2518, 1528, 5730, 7888, 6775, 1540,
                                                        7802, 5702, 3506, 2923
                                                    },
                                                    new[]
                                                    {
                                                        4883, 7665, 2343, 3000, 736, 7670, 2048, 6642, 195,
                                                        4785, 5057, 7310, 3618, 8041, 5658, 4529, 6851, 629,
                                                        5890, 3054, 1162, 7896, 6196, 1915, 8120, 1710,
                                                        3629, 6958, 679, 2520, 2087, 7660, 6658, 7334, 7527,
                                                        2281, 4357, 6850, 1724, 3912, 7576, 6746, 7743, 325,
                                                        3009, 4971, 5758, 6822, 4295, 2513, 7512, 290, 6190,
                                                        575, 1516, 2996, 7993, 5506, 4825, 7946, 7741, 477,
                                                        898, 802, 6588, 6058, 7908, 6243, 2657, 7602, 1557,
                                                        3965, 7118, 1907, 6772, 5472, 6268, 2118, 2649,
                                                        7371, 6742, 2816, 8059, 6428, 4162, 915, 3997, 5210,
                                                        6241, 7435, 5102, 178, 5633, 5445, 5694, 2472, 670,
                                                        1419, 3663, 152, 3280, 1999, 6606, 236, 7002, 7103,
                                                        790, 4250, 1737, 3749, 6395, 1097, 7775, 341, 1421,
                                                        3653, 2378, 4897, 1391, 1553, 7827, 5402, 7025,
                                                        7458, 5580, 1300, 7059, 931, 565, 2351, 6456, 5220,
                                                        1095, 7413, 5753, 4499, 4616, 4017, 5052, 2092,
                                                        4799, 2002, 6727, 4231, 184, 8009, 6907, 5482, 6024,
                                                        3447, 3188, 6715, 3013, 2490, 2034, 883, 6874, 7135,
                                                        340, 5476, 4670, 1755, 5710, 7993, 2066, 2174, 7361,
                                                        6678, 3571, 3098, 7557, 5860, 4781, 2290, 1386,
                                                        4840, 1931, 6978, 6336, 4626, 2063, 6546, 7454, 815,
                                                        5710, 5459, 1983, 3777, 2146, 2851, 3638, 5992,
                                                        7403, 4928, 1654, 199, 3193, 8144, 3396, 161, 7100,
                                                        3209, 6064, 6267, 5683, 1769, 5956, 2508, 1791,
                                                        6131, 7168, 1376, 2665, 4844, 6671, 8190, 4545,
                                                        7525, 7114, 4531, 2788, 5967, 1177, 2444, 184, 7669,
                                                        1112, 3914, 3149, 515, 5973, 6186, 6740, 1813, 3998,
                                                        7644, 5480, 2730, 3953, 1885, 3465, 6846, 5223,
                                                        3512, 1039, 7991, 5306, 6244, 620, 661, 7931, 3384,
                                                        7746, 7653, 2619
                                                    },
                                                    new[]
                                                    {
                                                        4319, 7369, 6724, 7257, 4776, 7093, 1984, 4196,
                                                        3740, 2330, 1755, 2123, 5554, 7635, 5027, 4557,
                                                        4560, 8086, 853, 2739, 3642, 2425, 686, 6942, 7074,
                                                        216, 659, 7790, 2900, 2569, 7158, 3637, 7534, 957,
                                                        4299, 4614, 414, 3953, 6141, 6475, 1298, 6209, 5121,
                                                        6858, 260, 7169, 2721, 1655, 2508, 554, 5724, 7630,
                                                        6364, 6986, 1907, 5921, 6224, 6547, 2795, 6047, 385,
                                                        1604, 2594, 5060, 5403, 1467, 403, 7993, 3487, 828,
                                                        7701, 7061, 344, 2032, 2912, 8097, 6869, 8017, 2302,
                                                        1772, 5888, 3542, 4402, 1011, 2715, 7766, 513, 2454,
                                                        4427, 7023, 4520, 934, 7167, 5703, 1308, 1372, 4054,
                                                        5209, 1897, 2806, 6403, 7910, 4820, 6617, 499, 7463,
                                                        6052, 3131, 1557, 7053, 1400, 1465, 563, 7204, 3893,
                                                        4676, 7909, 349, 4246, 3992, 2243, 1402, 5007, 4635,
                                                        6509, 6029, 4051, 4814, 6551, 6824, 5044, 2699,
                                                        3141, 6232, 3568, 4570, 3513, 2635, 2725, 7807, 504,
                                                        4989, 2212, 5978, 7601, 6958, 2810, 2366, 413, 3906,
                                                        7108, 2152, 4065, 7004, 4858, 413, 808, 2809, 5586,
                                                        1088, 1042, 4211, 7950, 3823, 3974, 7443, 3437, 657,
                                                        7982, 4478, 4639, 6472, 6137, 1714, 7929, 266, 411,
                                                        4908, 6648, 3341, 5656, 5010, 8172, 4700, 2729,
                                                        4317, 5269, 4877, 1011, 5074, 2717, 7620, 1983,
                                                        5586, 4440, 2876, 4515, 487, 6888, 4285, 6700, 7713,
                                                        5890, 750, 8189, 1326, 3911, 6502, 1214, 8137, 3031,
                                                        473, 2416, 1471, 3508, 6673, 459, 3388, 3932, 7925,
                                                        416, 1318, 2907, 7578, 4343, 639, 4107, 1396, 5365,
                                                        4749, 1001, 6657, 5803, 5826, 5544, 5454, 2983,
                                                        4676, 7891, 4109, 2760, 5397, 5267, 4241, 2577,
                                                        5768, 1943, 8055, 1973, 164, 2596, 8127, 2556, 7753,
                                                        8187
                                                    },
                                                    new[]
                                                    {
                                                        283, 3907, 7809, 4381, 5643, 6685, 5907, 563, 3449,
                                                        2763, 5272, 1702, 5776, 2899, 3756, 6191, 4870,
                                                        5780, 67, 6107, 6355, 4789, 1754, 3118, 3522, 1189,
                                                        5705, 5144, 1359, 494, 8028, 1401, 2328, 6141, 2499,
                                                        5426, 3311, 1376, 7347, 6178, 8096, 7143, 1707,
                                                        2614, 6710, 2984, 3883, 6662, 5327, 3258, 7101,
                                                        5906, 6630, 6236, 378, 3925, 5850, 3225, 4141, 5307,
                                                        4502, 1775, 8064, 2771, 889, 640, 2501, 862, 7461,
                                                        1434, 5622, 3462, 6199, 1436, 957, 1352, 368, 7137,
                                                        1165, 7997, 7674, 6104, 1162, 4669, 3156, 1980,
                                                        4511, 2575, 4511, 3248, 7669, 476, 5135, 5051, 1119,
                                                        3369, 8035, 5690, 1199, 312, 7552, 4071, 2872, 6919,
                                                        7373, 6711, 3890, 4480, 6182, 1950, 4298, 1715,
                                                        4472, 6146, 6200, 4928, 6392, 7083, 1274, 323, 4195,
                                                        2540, 1479, 1139, 2054, 331, 7585, 5994, 4385, 2559,
                                                        3949, 2985, 4666, 3884, 3242, 3800, 909, 4042, 6258,
                                                        2959, 6052, 1800, 895, 7877, 1416, 1281, 6503, 6313,
                                                        936, 120, 2023, 7665, 3820, 5817, 5925, 3933, 2954,
                                                        319, 6891, 6334, 2745, 6067, 6027, 4809, 6345, 5478,
                                                        1120, 3302, 4037, 1687, 849, 4800, 3328, 1524, 2453,
                                                        2005, 5600, 320, 6436, 8000, 6379, 2515, 5411, 4498,
                                                        8007, 5028, 1211, 2179, 3290, 3899, 4434, 3291,
                                                        6594, 6700, 4528, 2632, 5147, 1113, 6789, 3215, 873,
                                                        4181, 4500, 2607, 4633, 6238, 646, 7863, 5941, 4215,
                                                        1921, 8051, 2715, 5739, 5893, 1810, 3576, 731, 4511,
                                                        7059, 5258, 7434, 7134, 5629, 4592, 7937, 2361,
                                                        2705, 5370, 5906, 6651, 3148, 1370, 1312, 3396,
                                                        4851, 352, 4636, 6737, 3274, 7832, 7115, 5188, 2116,
                                                        764, 650, 5276, 31, 3785, 4441, 3245, 2767, 7222,
                                                        6628, 1442
                                                    },
                                                    new[]
                                                    {
                                                        7933, 6016, 6447, 364, 2847, 4198, 2914, 7729, 2378,
                                                        7314, 7694, 3105, 4329, 2235, 6602, 310, 4931, 1802,
                                                        5804, 8012, 1013, 4726, 1063, 4715, 4564, 4852,
                                                        1470, 1445, 4536, 610, 3419, 1841, 2609, 2388, 161,
                                                        6132, 2254, 443, 1067, 1843, 2726, 2031, 1729, 3843,
                                                        3223, 1016, 2517, 2811, 3768, 4132, 1684, 6325,
                                                        2339, 3947, 2883, 7064, 7551, 3236, 7367, 4983,
                                                        4911, 7235, 7748, 377, 2861, 7776, 2401, 7860, 1866,
                                                        6019, 1908, 1790, 4708, 942, 764, 2925, 1438, 3931,
                                                        5887, 7722, 2787, 2754, 7457, 6238, 4856, 5752,
                                                        3710, 3335, 800, 371, 6726, 1108, 160, 1658, 2397,
                                                        2897, 3026, 4905, 3236, 7422, 5225, 1234, 4488,
                                                        1576, 3861, 7437, 7738, 518, 7000, 8036, 7117, 6200,
                                                        4254, 4402, 3582, 7667, 3226, 7887, 788, 1364, 1765,
                                                        3820, 6095, 6871, 6829, 1945, 8175, 5054, 7617,
                                                        6723, 423, 6147, 2124, 2332, 7271, 1533, 5741, 6953,
                                                        5104, 2360, 372, 4844, 8178, 2586, 3844, 3103, 3453,
                                                        6828, 773, 6546, 1831, 5743, 891, 7796, 3677, 7571,
                                                        2578, 6924, 6680, 7749, 1329, 5475, 5952, 1307, 63,
                                                        6966, 1427, 4359, 4973, 3233, 5794, 5415, 1694,
                                                        1287, 6744, 3872, 6584, 4568, 873, 1336, 4401, 3288,
                                                        2916, 5521, 6459, 2753, 7390, 8169, 907, 638, 8070,
                                                        7253, 4647, 2015, 7565, 6134, 2830, 965, 6314, 5834,
                                                        5940, 4211, 4558, 3380, 5335, 2969, 7143, 1227,
                                                        2825, 4232, 1123, 5073, 395, 3695, 7341, 8, 7025,
                                                        3519, 2689, 30, 7439, 6381, 6841, 1902, 1638, 2442,
                                                        2578, 6019, 417, 2692, 2169, 7397, 306, 5967, 4359,
                                                        4772, 4965, 6107, 4339, 1863, 4952, 2090, 6020,
                                                        3401, 7480, 7932, 966, 5896, 88, 3947, 4331, 7095,
                                                        1525, 5687, 6598
                                                    },
                                                    new[]
                                                    {
                                                        5007, 4188, 1864, 2365, 7061, 6808, 6507, 3235,
                                                        2871, 1884, 3290, 5399, 3595, 7190, 6647, 1717,
                                                        2647, 2914, 7108, 7025, 5564, 3136, 427, 2814, 597,
                                                        4958, 3762, 2436, 2904, 6810, 8160, 6882, 3470,
                                                        3629, 4497, 1185, 5715, 2669, 7944, 6364, 7197, 892,
                                                        5692, 2796, 95, 5749, 5889, 5683, 6879, 7079, 7541,
                                                        15, 896, 1076, 6897, 3527, 6978, 6437, 2101, 1600,
                                                        1930, 2199, 3281, 190, 1920, 2280, 1747, 8068, 3181,
                                                        2004, 2137, 620, 5710, 108, 2006, 3666, 7622, 846,
                                                        5497, 608, 7697, 5726, 2230, 987, 4118, 916, 4058,
                                                        5483, 6042, 81, 2633, 1323, 3411, 1774, 4182, 4170,
                                                        949, 5148, 1061, 7724, 6331, 5680, 7568, 2871, 2441,
                                                        7245, 396, 7312, 6354, 1891, 1785, 5483, 5540, 711,
                                                        598, 6737, 5212, 3573, 2149, 4511, 6615, 513, 6343,
                                                        3434, 2845, 2621, 521, 6936, 4318, 5231, 5536, 1136,
                                                        3116, 6435, 3350, 6752, 402, 6585, 6411, 4900, 303,
                                                        5474, 7976, 6557, 65, 5050, 4617, 2325, 1893, 5329,
                                                        7836, 3118, 3573, 2392, 5439, 740, 6320, 5999, 987,
                                                        3250, 2421, 7420, 301, 5538, 2979, 5473, 4983, 5049,
                                                        1348, 6625, 7807, 6084, 6110, 8098, 6711, 7129,
                                                        6510, 522, 5405, 1056, 1368, 7599, 6876, 4473, 3054,
                                                        2279, 4720, 459, 1850, 2889, 5222, 7503, 7199, 8160,
                                                        8119, 5472, 1263, 2833, 7070, 2284, 3052, 5469,
                                                        7013, 8091, 7800, 2668, 6762, 3252, 401, 6296, 4206,
                                                        7225, 6016, 220, 6143, 7631, 1175, 4482, 5285, 7672,
                                                        3629, 619, 7553, 3884, 4654, 1716, 1474, 6225, 4475,
                                                        1177, 8113, 1430, 6028, 3416, 3878, 5538, 602, 2713,
                                                        4470, 4963, 5549, 6496, 4154, 7184, 5074, 6270,
                                                        6219, 5908, 3128, 1559, 4054, 5695, 1594, 3744, 7563
                                                    },
                                                    new[]
                                                    {
                                                        628, 5012, 2882, 4452, 44, 1345, 6164, 3745, 7157,
                                                        4886, 7182, 931, 889, 6114, 8146, 4, 109, 5568,
                                                        1068, 762, 3463, 573, 4192, 6213, 5990, 500, 4680,
                                                        1595, 2031, 4209, 3225, 6834, 4707, 5470, 280, 159,
                                                        1052, 4649, 5342, 6473, 6028, 4427, 2243, 7612,
                                                        3929, 6636, 881, 6376, 3492, 2081, 625, 4952, 6736,
                                                        5246, 3717, 5701, 4061, 5026, 1373, 3426, 3404,
                                                        3805, 7040, 7752, 6199, 2471, 4823, 2046, 416, 5850,
                                                        2567, 4926, 5593, 5779, 6441, 5760, 1843, 6230,
                                                        7380, 5038, 4870, 5301, 5261, 1727, 4497, 4943,
                                                        2447, 4783, 7545, 3082, 1103, 2474, 5144, 7380,
                                                        4283, 512, 2585, 4605, 245, 7321, 2553, 3989, 3602,
                                                        1836, 4197, 5787, 1315, 2796, 4171, 7901, 2915,
                                                        7640, 7771, 6160, 4709, 5879, 5845, 5393, 2124, 862,
                                                        2849, 2743, 7928, 5781, 2916, 3213, 1139, 5423, 771,
                                                        6588, 2388, 4590, 1792, 419, 857, 1274, 3428, 3920,
                                                        6407, 5584, 1441, 7248, 2144, 1571, 2817, 4136, 344,
                                                        5197, 7558, 944, 6390, 1890, 1245, 551, 4509, 1590,
                                                        3971, 4227, 5187, 6043, 2456, 6623, 3510, 4874,
                                                        7491, 3540, 580, 5159, 2256, 1799, 3665, 6750, 2201,
                                                        3880, 66, 4573, 2865, 2727, 1589, 2402, 4691, 6643,
                                                        8034, 5665, 7606, 2701, 3934, 2339, 6330, 2373,
                                                        5755, 1948, 4966, 6809, 2685, 5937, 3760, 4110,
                                                        5476, 7426, 5036, 6270, 514, 4975, 1428, 1881, 6159,
                                                        7172, 1240, 339, 5212, 1370, 6927, 583, 4395, 1350,
                                                        1963, 7022, 4850, 5971, 8107, 5927, 3478, 1354,
                                                        3029, 7132, 3021, 1819, 2565, 6726, 5037, 1065,
                                                        5878, 3130, 3708, 2980, 2821, 1978, 258, 5393, 7027,
                                                        3261, 4833, 6581, 1214, 5489, 4833, 884, 2380, 7542,
                                                        2518, 2581, 2765, 5342, 109
                                                    },
                                                    new[]
                                                    {
                                                        5847, 3968, 7644, 1887, 1658, 3583, 1492, 4510,
                                                        4687, 3496, 4745, 1810, 1293, 5114, 7936, 4504,
                                                        1820, 663, 3517, 7175, 7507, 476, 4382, 2556, 5544,
                                                        5294, 3687, 5415, 6399, 6757, 7572, 7851, 5003,
                                                        1463, 2643, 5246, 6022, 685, 4550, 7641, 2184, 7787,
                                                        1232, 6473, 5318, 2114, 5561, 7810, 2860, 2921,
                                                        4775, 5810, 188, 883, 7700, 6096, 6419, 4029, 1552,
                                                        2106, 295, 4676, 6232, 3877, 2441, 1567, 2875, 969,
                                                        2416, 2665, 6634, 6646, 1441, 4212, 4369, 4050,
                                                        7521, 4253, 4782, 6817, 3738, 246, 271, 6393, 2849,
                                                        3773, 1311, 5242, 5811, 6926, 3451, 3883, 2987,
                                                        2158, 7737, 8076, 5426, 609, 5738, 5859, 3396, 2496,
                                                        7148, 6170, 2568, 8114, 2037, 882, 6755, 3514, 2730,
                                                        39, 4000, 639, 5005, 1460, 3513, 6476, 4338, 76,
                                                        4335, 2991, 2053, 5834, 814, 7791, 4920, 5273, 3817,
                                                        5798, 5844, 3545, 5950, 205, 3544, 3478, 5498, 7995,
                                                        2496, 7966, 2722, 4041, 6743, 7306, 6955, 4896,
                                                        4160, 5490, 1324, 4107, 5054, 5322, 480, 73, 92,
                                                        6903, 7530, 2279, 866, 2595, 4922, 1735, 7960, 794,
                                                        689, 5231, 4628, 3845, 2598, 5272, 4053, 14, 4307,
                                                        3541, 3804, 4658, 1646, 905, 1609, 4198, 490, 475,
                                                        6215, 687, 5682, 5936, 2187, 3015, 1805, 7782, 3430,
                                                        349, 5960, 6987, 1483, 878, 6079, 6544, 5504, 1932,
                                                        2959, 5154, 7177, 6967, 7016, 3776, 4797, 2805,
                                                        4798, 6497, 4655, 77, 7336, 2432, 3697, 7246, 5430,
                                                        3666, 2994, 1156, 476, 6010, 4436, 6878, 677, 70,
                                                        6166, 728, 3688, 7369, 1927, 7449, 7113, 3401, 45,
                                                        6423, 5937, 3927, 5609, 4026, 4771, 1244, 4061,
                                                        8003, 5502, 45, 4700, 1599, 5958, 8026, 5624, 7154,
                                                        1168, 5414, 4175
                                                    },
                                                    new[]
                                                    {
                                                        5848, 1832, 3060, 817, 7021, 1269, 4701, 3151, 394,
                                                        5397, 6366, 1698, 7888, 3620, 4784, 6387, 2870, 200,
                                                        7, 2312, 1357, 7622, 4171, 3710, 6343, 7286, 1289,
                                                        3060, 6514, 7510, 6237, 2693, 4649, 4716, 7762,
                                                        1657, 6344, 2537, 7152, 5188, 3585, 7838, 7637,
                                                        2666, 1819, 2254, 6626, 7906, 1282, 2908, 8015, 835,
                                                        7438, 5378, 845, 3800, 4611, 6086, 3555, 683, 773,
                                                        3537, 1864, 2193, 2317, 2421, 5982, 3681, 7374,
                                                        3338, 1316, 4157, 2044, 1429, 2615, 7108, 1907,
                                                        6886, 902, 4468, 7093, 3986, 5487, 7721, 8158, 5958,
                                                        6185, 3476, 5400, 5853, 2958, 3474, 2690, 6038, 635,
                                                        3854, 966, 2585, 8019, 7226, 2859, 1059, 1861, 3076,
                                                        118, 467, 767, 441, 4219, 1588, 6751, 1607, 5150,
                                                        3345, 513, 3163, 3445, 8045, 6599, 7142, 1115, 5689,
                                                        1920, 3533, 992, 1942, 2253, 415, 7467, 3995, 3982,
                                                        1786, 2113, 4262, 516, 4364, 6966, 7483, 1320, 3152,
                                                        3263, 823, 6598, 3639, 6635, 4860, 175, 3981, 2589,
                                                        3941, 702, 8122, 6830, 1773, 6370, 5559, 1634, 619,
                                                        5375, 2469, 7878, 2198, 1964, 3611, 304, 3943, 1170,
                                                        3580, 3495, 716, 3462, 2604, 8043, 5320, 3753, 1247,
                                                        4761, 4771, 7415, 941, 4405, 195, 4945, 4187, 6129,
                                                        1552, 7221, 8110, 6905, 2144, 2836, 8162, 4635,
                                                        1298, 5665, 7558, 4405, 2337, 66, 7610, 4166, 2323,
                                                        1279, 4998, 4305, 170, 337, 1405, 5055, 6571, 3872,
                                                        4103, 811, 6948, 3787, 973, 1780, 3365, 1789, 3492,
                                                        7585, 3691, 2094, 5610, 4206, 5703, 3494, 6765,
                                                        5523, 7390, 867, 7960, 4416, 2343, 7824, 4634, 88,
                                                        7256, 4184, 1984, 4539, 4076, 4037, 7843, 2970,
                                                        5958, 2695, 3448, 5585, 742, 6764, 5156, 123, 7328,
                                                        8092
                                                    },
                                                    new[]
                                                    {
                                                        414, 5948, 3020, 7399, 3683, 1749, 6594, 3326, 1460,
                                                        1978, 7787, 3782, 7173, 1040, 33, 3446, 165, 6352,
                                                        313, 1775, 2162, 5154, 3713, 7392, 7136, 8044, 7937,
                                                        5392, 1474, 3857, 4518, 6264, 3068, 4915, 582, 4222,
                                                        6414, 1078, 5765, 6634, 7560, 7880, 7581, 5622,
                                                        4944, 5941, 7561, 5570, 5386, 7063, 3051, 2140,
                                                        2440, 3245, 1721, 814, 7967, 3022, 5727, 4362, 3149,
                                                        3334, 8047, 4454, 5031, 3133, 6975, 2447, 6727,
                                                        4356, 942, 4649, 632, 1689, 6255, 1754, 3044, 1437,
                                                        7036, 5950, 144, 1441, 5325, 2330, 5207, 3743, 41,
                                                        5488, 2272, 6416, 5694, 6936, 7966, 5000, 3614, 176,
                                                        6223, 2405, 7492, 2033, 1532, 4507, 3649, 5561, 35,
                                                        1605, 5361, 7155, 7685, 6759, 1501, 3153, 3916,
                                                        7784, 7223, 8157, 2669, 8062, 2301, 105, 5472, 5237,
                                                        6231, 4808, 1628, 3411, 257, 2150, 7729, 3797, 3361,
                                                        2834, 6920, 5505, 3583, 6727, 7025, 6040, 2471, 347,
                                                        1775, 1741, 4056, 5821, 3863, 830, 923, 3042, 4530,
                                                        6052, 6556, 741, 5022, 2640, 5747, 2296, 399, 3420,
                                                        3801, 6018, 2068, 322, 429, 3513, 2158, 4136, 4016,
                                                        4883, 7914, 2971, 6850, 7388, 1595, 7300, 2408, 907,
                                                        8104, 931, 3092, 4891, 5998, 2990, 3525, 5451, 7491,
                                                        403, 2033, 556, 2117, 390, 6111, 3468, 1559, 4509,
                                                        3181, 4649, 6535, 4048, 5093, 272, 4908, 1836, 2397,
                                                        8007, 5250, 4347, 1605, 6249, 3715, 1915, 2895, 969,
                                                        7792, 5923, 5157, 5007, 5084, 7323, 3505, 8033,
                                                        6197, 3476, 1606, 4573, 7279, 2782, 364, 1159, 5951,
                                                        3334, 676, 3053, 4898, 372, 7396, 2825, 5336, 7975,
                                                        6969, 4620, 7064, 3534, 6633, 2297, 4117, 4495,
                                                        5810, 807, 949, 5872, 4158, 4263, 3794, 1001, 7149
                                                    },
                                                    new[]
                                                    {
                                                        338, 3082, 5645, 2376, 6569, 7589, 2282, 7053, 4897,
                                                        4343, 2988, 4226, 7413, 912, 7802, 5670, 3024, 6385,
                                                        5693, 6473, 7510, 5684, 6390, 6753, 7356, 53, 327,
                                                        2374, 3035, 2842, 506, 1678, 4580, 4970, 1124, 3008,
                                                        5755, 6944, 5363, 283, 808, 3776, 1309, 1618, 3859,
                                                        4610, 4430, 7469, 5566, 6561, 6384, 4669, 6483,
                                                        6446, 1613, 2082, 5971, 7824, 3691, 3982, 3368,
                                                        2492, 7563, 7000, 4815, 4303, 1115, 789, 5359, 3125,
                                                        3472, 2389, 847, 590, 7167, 4628, 886, 4508, 680,
                                                        3373, 7958, 4238, 2250, 973, 2042, 7895, 3745, 6176,
                                                        7269, 400, 2591, 7985, 7788, 237, 7206, 5353, 937,
                                                        3558, 839, 7623, 7472, 4218, 1658, 1742, 1766, 2631,
                                                        2272, 6636, 7813, 7727, 526, 4370, 2848, 6543, 6376,
                                                        7247, 5471, 457, 6128, 1854, 7190, 2111, 4372, 2304,
                                                        1659, 2319, 8058, 4856, 7241, 3569, 1877, 7496,
                                                        6728, 6484, 1172, 5210, 2541, 1253, 3018, 3294,
                                                        3365, 790, 2758, 1709, 1450, 3568, 3353, 6455, 7026,
                                                        5006, 4704, 6980, 7470, 6478, 1998, 6044, 4032, 824,
                                                        5533, 4873, 7217, 4292, 1297, 4414, 4180, 877, 6488,
                                                        216, 1069, 5250, 3165, 3869, 7778, 418, 2349, 6230,
                                                        5146, 3465, 5408, 1198, 4810, 6197, 154, 7848, 824,
                                                        3601, 5086, 139, 898, 676, 1132, 313, 4280, 7731,
                                                        5977, 319, 4960, 6568, 1372, 3670, 6197, 4838, 5074,
                                                        368, 4756, 1559, 5045, 8154, 2001, 1652, 2384, 1725,
                                                        1487, 5075, 3768, 6464, 4380, 1983, 3406, 3859,
                                                        1959, 1270, 2229, 1638, 3267, 2718, 6202, 4605,
                                                        7295, 1860, 6962, 2962, 6607, 1513, 3237, 6357,
                                                        4523, 3673, 2155, 8050, 4643, 3975, 7766, 6908,
                                                        1222, 6884, 2415, 1704, 5981, 2049, 5009, 5264,
                                                        3225, 6724, 3689
                                                    },
                                                    new[]
                                                    {
                                                        7472, 6947, 2896, 7932, 6318, 5006, 5045, 178, 62,
                                                        852, 856, 7827, 2063, 4162, 1427, 7760, 2213, 4030,
                                                        4033, 7107, 2381, 1874, 15, 1628, 2320, 5617, 4481,
                                                        7160, 5559, 5418, 2308, 6779, 6898, 6813, 2954, 763,
                                                        2908, 7256, 3603, 2343, 6025, 2435, 5326, 152, 1081,
                                                        25, 6380, 20, 458, 4431, 6028, 5851, 7102, 1684,
                                                        6852, 4050, 7747, 4800, 6034, 4229, 7652, 1499,
                                                        1022, 7532, 4556, 6369, 3036, 3512, 7737, 1366, 139,
                                                        1052, 296, 4819, 7708, 8097, 3202, 7303, 6996, 1395,
                                                        1652, 6490, 5147, 6024, 6959, 7115, 4251, 1524,
                                                        2990, 1502, 2162, 581, 3457, 7300, 5185, 890, 6470,
                                                        7413, 6625, 218, 8169, 3205, 4236, 5531, 7857, 2364,
                                                        3787, 5571, 2915, 2780, 5976, 3240, 4070, 8015,
                                                        6033, 6853, 2029, 2047, 6844, 3866, 2816, 4480,
                                                        6322, 6210, 853, 1852, 7285, 4634, 1678, 1404, 3218,
                                                        7070, 4819, 7362, 8182, 139, 1899, 2675, 4749, 6738,
                                                        5502, 7441, 2839, 8118, 5808, 4384, 1882, 7380,
                                                        2852, 2301, 3093, 2048, 3032, 5638, 452, 5367, 4559,
                                                        2022, 902, 810, 3450, 8084, 6838, 6705, 3773, 6213,
                                                        5156, 2175, 1692, 6897, 573, 4033, 4014, 176, 2682,
                                                        1210, 1013, 1450, 7636, 6150, 4658, 2892, 3090,
                                                        3323, 370, 1949, 1632, 4179, 3963, 5153, 4760, 6990,
                                                        7301, 5537, 6690, 1757, 8140, 1723, 2369, 6490, 41,
                                                        5838, 4783, 7865, 904, 3396, 6252, 4623, 7465, 1481,
                                                        4385, 6088, 4773, 1256, 7737, 7538, 2005, 5713,
                                                        1132, 6942, 5258, 3761, 7198, 1275, 7817, 2733,
                                                        5386, 1571, 1439, 3059, 4292, 22, 6036, 1173, 6550,
                                                        1843, 1622, 4212, 851, 337, 7499, 5642, 6749, 6242,
                                                        2750, 1534, 5759, 2148, 4205, 2488, 5307, 4064,
                                                        2013, 221, 3981
                                                    },
                                                    new[]
                                                    {
                                                        2170, 6961, 5602, 7087, 7650, 3461, 1590, 6810, 472,
                                                        7217, 2895, 7043, 4641, 6913, 6248, 1469, 1156,
                                                        6420, 7608, 2149, 4226, 5608, 1377, 5288, 4499,
                                                        2229, 3610, 6093, 4171, 2384, 2404, 1684, 7597, 484,
                                                        1318, 3292, 1930, 765, 4707, 4624, 1485, 4113, 2353,
                                                        5948, 8179, 6019, 2011, 8001, 6467, 4010, 129, 32,
                                                        4234, 1006, 1365, 4628, 3029, 4179, 1663, 4093,
                                                        4201, 4585, 4290, 3651, 8129, 7080, 1203, 6603,
                                                        4971, 2347, 4377, 4109, 1483, 2711, 1188, 3324,
                                                        2736, 1342, 1805, 7125, 1100, 5117, 423, 7797, 7167,
                                                        7103, 729, 756, 3354, 4910, 8122, 1376, 1941, 1632,
                                                        7723, 2451, 3997, 7741, 4846, 4707, 2075, 2639,
                                                        6038, 6788, 7161, 4930, 7992, 837, 3017, 6438, 7412,
                                                        6668, 5294, 5689, 3842, 448, 4619, 1663, 1132, 2573,
                                                        812, 3300, 794, 5902, 2665, 7324, 4187, 77, 4114,
                                                        3306, 7830, 5546, 8052, 3059, 3025, 4372, 375, 3008,
                                                        5894, 1228, 4578, 6568, 7711, 1880, 3658, 304, 5573,
                                                        7790, 3974, 642, 6564, 4784, 4196, 6255, 6513, 965,
                                                        3628, 3861, 2026, 5682, 5362, 7711, 3318, 1542,
                                                        7539, 5869, 2265, 2189, 4020, 3030, 4586, 1229,
                                                        1697, 3521, 5428, 5340, 8001, 3232, 6718, 5776, 671,
                                                        7141, 5588, 5408, 7648, 1635, 1662, 4945, 764, 5324,
                                                        1877, 7903, 4158, 3440, 3973, 7990, 6169, 1943,
                                                        3142, 36, 7043, 5852, 7574, 1370, 8173, 4647, 2711,
                                                        3665, 7970, 7379, 6051, 7255, 4817, 4985, 4799,
                                                        6181, 3531, 7614, 198, 2657, 6744, 6425, 1953, 7631,
                                                        3322, 6320, 1828, 6864, 5140, 1054, 7843, 2575,
                                                        6742, 2726, 5595, 7819, 5485, 484, 3984, 6787, 1783,
                                                        3635, 3491, 4565, 1619, 5617, 4357, 6224, 2260,
                                                        3729, 4950, 3445, 1471, 3621, 5043
                                                    },
                                                    new[]
                                                    {
                                                        3188, 4495, 2257, 6067, 7334, 62, 5459, 5593, 3201,
                                                        3933, 7406, 3001, 5501, 6864, 4208, 5086, 3063,
                                                        3869, 1331, 158, 4485, 5214, 3600, 6751, 8115, 6587,
                                                        995, 6316, 5094, 1151, 6605, 4698, 2933, 7797, 4950,
                                                        3948, 6761, 2037, 5528, 6693, 7413, 3107, 1833,
                                                        8174, 4770, 4149, 6578, 5396, 966, 5555, 7076, 5720,
                                                        4731, 5051, 6742, 7699, 4330, 4392, 2969, 4644,
                                                        1489, 2329, 5839, 6354, 5329, 1798, 242, 8140, 3831,
                                                        3329, 1037, 5570, 7726, 6414, 1394, 3973, 6355,
                                                        7155, 2828, 4947, 2034, 75, 4611, 8147, 2256, 2890,
                                                        6029, 3251, 7793, 6745, 743, 2113, 932, 5448, 5067,
                                                        7059, 991, 2215, 5898, 7707, 6117, 1424, 7404, 6632,
                                                        6005, 1013, 6016, 3933, 2963, 7310, 87, 1416, 1089,
                                                        2437, 2712, 3018, 3672, 6893, 3403, 8179, 1078, 716,
                                                        7394, 7473, 5801, 6101, 3330, 5444, 6894, 3401, 730,
                                                        2054, 5092, 3313, 3361, 1349, 1265, 4880, 7362,
                                                        3955, 3009, 1546, 8153, 4145, 7108, 7755, 5539,
                                                        7276, 7012, 7176, 8053, 7911, 7376, 2316, 3381,
                                                        3166, 4084, 1786, 1569, 5281, 2461, 7004, 2011,
                                                        2206, 4604, 7490, 4213, 2337, 974, 2938, 4053, 5897,
                                                        7787, 3187, 4779, 2536, 4053, 5025, 2495, 4051,
                                                        3202, 6663, 540, 1705, 5673, 2754, 6579, 4273, 5922,
                                                        5524, 572, 922, 6623, 863, 3962, 3433, 2775, 2351,
                                                        1846, 7638, 5887, 3833, 1781, 2493, 2454, 6431,
                                                        1846, 2574, 3217, 82, 3485, 3647, 2746, 5333, 5728,
                                                        3746, 259, 2621, 586, 4167, 4388, 3116, 4792, 1205,
                                                        5028, 5136, 3883, 5990, 7834, 2011, 5382, 1423,
                                                        5340, 4389, 1273, 2141, 2487, 2799, 6696, 6871,
                                                        3486, 8067, 2937, 6885, 1802, 2750, 7393, 5757,
                                                        6304, 1764, 6270, 7000, 8018, 332, 6246
                                                    },
                                                    new[]
                                                    {
                                                        158, 456, 6898, 3997, 8040, 2694, 4948, 3057, 4687,
                                                        3915, 903, 1774, 717, 5234, 8189, 826, 3198, 2643,
                                                        2252, 5573, 7019, 6963, 4061, 6015, 1095, 8177,
                                                        7495, 8104, 7418, 4158, 3411, 1956, 6946, 646, 1297,
                                                        3022, 1379, 1662, 7261, 57, 5152, 2165, 1800, 2838,
                                                        6874, 1833, 2728, 3131, 7074, 6611, 1781, 2428,
                                                        4275, 354, 518, 860, 7227, 784, 6222, 3359, 6159,
                                                        5194, 4190, 7231, 468, 5122, 5457, 4120, 3600, 5360,
                                                        6123, 4193, 1759, 4487, 3535, 5789, 1439, 3565,
                                                        6636, 1549, 6674, 7709, 4702, 2887, 730, 7655, 7299,
                                                        6266, 7304, 3171, 1985, 684, 6134, 828, 405, 7679,
                                                        5072, 5087, 3972, 6956, 5019, 6761, 4194, 1407,
                                                        3715, 6207, 7499, 2276, 2813, 7926, 2819, 2242,
                                                        4344, 3139, 1583, 8108, 3863, 7040, 1511, 4095,
                                                        6862, 2912, 6296, 7251, 1973, 2618, 7112, 3947,
                                                        1418, 8133, 4786, 7054, 5794, 8144, 1450, 2982,
                                                        4372, 279, 4153, 1604, 3972, 7510, 4924, 34, 3915,
                                                        4866, 5061, 5153, 4356, 2458, 4663, 4017, 3933,
                                                        3804, 5340, 5306, 4141, 1171, 4258, 2926, 5222,
                                                        5361, 1730, 4493, 2930, 250, 510, 6913, 1391, 1327,
                                                        1170, 4114, 1493, 5838, 4453, 6393, 7428, 1495,
                                                        3531, 4057, 1068, 2930, 4388, 5982, 7499, 2350,
                                                        5928, 5118, 6010, 4869, 3552, 6263, 1029, 1264, 930,
                                                        220, 2691, 2253, 4389, 7576, 5688, 1684, 2070, 6173,
                                                        5140, 3842, 3739, 1934, 5202, 6306, 1095, 6771,
                                                        3373, 3396, 6217, 5663, 1207, 1134, 6399, 307, 1737,
                                                        2301, 6514, 6015, 4094, 8058, 4514, 3287, 3014,
                                                        2651, 6968, 1912, 7493, 5583, 2625, 723, 1016, 6017,
                                                        596, 7933, 4205, 450, 2466, 1453, 2767, 1578, 717,
                                                        7516, 6281, 4544, 419, 208, 6717, 5983, 7000
                                                    },
                                                    new[]
                                                    {
                                                        3102, 376, 4911, 6363, 2749, 4186, 6700, 3730, 7074,
                                                        1890, 4477, 3246, 3696, 7792, 4811, 5310, 548, 2118,
                                                        6332, 6665, 8043, 5710, 654, 7519, 6014, 5976, 1943,
                                                        1167, 2720, 308, 2022, 4834, 7768, 6438, 1219, 2719,
                                                        3316, 6644, 4138, 1472, 5212, 3608, 1759, 7126,
                                                        5548, 7684, 5730, 5500, 2863, 5537, 1114, 5354,
                                                        5004, 8001, 5033, 8092, 1460, 3187, 5428, 7403,
                                                        3439, 3953, 4866, 1707, 6709, 1106, 4196, 3531,
                                                        4086, 440, 4477, 4614, 5214, 7586, 7165, 6807, 899,
                                                        5748, 7315, 3535, 15, 3064, 4242, 1903, 3060, 2710,
                                                        7837, 603, 6602, 6587, 2685, 7540, 1793, 4468, 6310,
                                                        6777, 836, 6951, 2592, 1001, 4963, 7511, 3882, 1319,
                                                        7251, 4528, 530, 3093, 3623, 1843, 4198, 6599, 757,
                                                        707, 4715, 2317, 779, 7164, 2297, 579, 7772, 836,
                                                        269, 1315, 5061, 573, 801, 5016, 5664, 2061, 5949,
                                                        6951, 3234, 1249, 3669, 7195, 541, 7370, 1803, 1616,
                                                        235, 5871, 515, 85, 864, 5004, 2641, 4579, 2852,
                                                        379, 857, 1182, 4410, 7328, 6884, 2441, 7867, 6333,
                                                        6521, 5376, 2059, 7695, 219, 6892, 4406, 1531, 4729,
                                                        7859, 5209, 3981, 442, 1445, 5094, 4257, 7749, 6056,
                                                        3867, 2817, 1048, 4241, 1878, 1060, 5977, 2502,
                                                        5912, 7448, 2297, 6439, 5111, 246, 1316, 7682, 5057,
                                                        5970, 924, 6793, 5161, 7549, 1267, 5204, 8168, 2890,
                                                        4932, 2479, 7959, 3845, 5421, 1108, 2749, 1162, 272,
                                                        295, 5570, 5465, 5863, 2516, 2930, 6496, 675, 4837,
                                                        4984, 7799, 1373, 411, 7379, 4572, 5742, 5578, 1615,
                                                        563, 7340, 6476, 5854, 3162, 7968, 2619, 4675, 603,
                                                        4992, 547, 6975, 2036, 4400, 4455, 7554, 2261, 8127,
                                                        6177, 5585, 898, 3049, 2144, 7918, 3687, 7186
                                                    },
                                                    new[]
                                                    {
                                                        2983, 2214, 2432, 455, 2945, 6445, 6931, 3676, 3868,
                                                        818, 6707, 6392, 1518, 1793, 4423, 3450, 3265, 4881,
                                                        4657, 857, 140, 745, 4518, 3789, 4911, 1861, 2775,
                                                        1871, 5314, 6197, 85, 248, 5891, 8137, 7413, 3845,
                                                        7762, 7344, 6099, 5461, 493, 3375, 5681, 6296, 4779,
                                                        1521, 4218, 7193, 1996, 3754, 6566, 7403, 1007,
                                                        3637, 1980, 2297, 219, 1804, 3808, 3034, 3025, 7303,
                                                        4755, 453, 3679, 3244, 5761, 7240, 175, 5061, 6938,
                                                        8100, 1733, 2697, 2913, 7756, 5918, 5875, 3625,
                                                        5938, 8075, 3741, 1199, 4607, 6509, 6825, 281, 5338,
                                                        5700, 4152, 4101, 7894, 7513, 7135, 5011, 3334,
                                                        5027, 2754, 5346, 171, 5851, 4466, 57, 4704, 2313,
                                                        2691, 603, 3290, 667, 4969, 3350, 4012, 6603, 7370,
                                                        1067, 3492, 2963, 5218, 7126, 1442, 4999, 1064,
                                                        3827, 241, 5714, 4501, 2965, 3928, 4287, 2397, 4385,
                                                        7264, 5468, 1722, 799, 1168, 2892, 5424, 2480, 8167,
                                                        878, 5677, 2870, 496, 1841, 7078, 3092, 7680, 7415,
                                                        3651, 1935, 5895, 6573, 62, 5545, 692, 6577, 2977,
                                                        8132, 1359, 2832, 2946, 7215, 7837, 6123, 594, 1686,
                                                        1200, 1809, 6971, 401, 7378, 3906, 6487, 3722, 4798,
                                                        1453, 4770, 1477, 2997, 4387, 7214, 4253, 6446,
                                                        6879, 8052, 689, 6417, 2860, 5775, 7155, 2421, 518,
                                                        8077, 86, 6379, 7506, 29, 843, 2280, 2799, 5478,
                                                        7232, 332, 430, 1802, 2999, 5527, 1621, 3344, 5114,
                                                        8184, 5668, 2095, 7563, 4507, 915, 4547, 2224, 5238,
                                                        4722, 1764, 6523, 1309, 7535, 7202, 1652, 4280,
                                                        4556, 7756, 5669, 4406, 7194, 3467, 5463, 5565,
                                                        2862, 4539, 7444, 6390, 7827, 3411, 3124, 6637, 666,
                                                        6336, 3616, 4746, 4635, 1270, 7354, 7992, 6192,
                                                        4803, 7033
                                                    },
                                                    new[]
                                                    {
                                                        6790, 6438, 4711, 4671, 5545, 4943, 31, 1442, 6006,
                                                        4618, 5050, 4900, 7231, 7761, 6498, 7253, 6855,
                                                        1510, 145, 7150, 4821, 78, 3684, 4825, 3195, 3757,
                                                        8143, 918, 6868, 2631, 2546, 2118, 6260, 4512, 1625,
                                                        4236, 5196, 6866, 5803, 2387, 2713, 4089, 62, 2534,
                                                        513, 6714, 2670, 5135, 6069, 280, 1122, 527, 1496,
                                                        6796, 3403, 5512, 1952, 3890, 7330, 5024, 6351,
                                                        1609, 2924, 328, 7826, 863, 6881, 251, 822, 5061,
                                                        8184, 3035, 7248, 787, 6206, 3550, 7679, 7903, 529,
                                                        2607, 3288, 1450, 2034, 6157, 5377, 388, 1096, 4045,
                                                        3948, 1413, 4256, 3134, 2314, 4021, 6227, 1981, 908,
                                                        3623, 1317, 6878, 6668, 7818, 629, 2942, 2457, 6377,
                                                        5821, 3911, 3112, 2335, 7903, 1242, 5759, 1482,
                                                        2752, 7710, 6505, 7464, 1410, 1942, 8179, 5088,
                                                        4629, 7274, 2336, 3397, 1671, 6842, 2033, 6457,
                                                        4733, 4553, 4959, 4673, 3820, 4529, 5603, 6727,
                                                        8113, 7534, 8081, 1807, 6281, 5328, 543, 6275, 89,
                                                        3208, 2118, 6419, 3618, 2910, 4714, 339, 2608, 1405,
                                                        2729, 7591, 5096, 2545, 2074, 4046, 6001, 5697,
                                                        6643, 6319, 82, 6979, 1397, 3168, 8169, 5955, 5210,
                                                        3755, 4194, 6000, 8059, 5657, 7844, 5910, 3119,
                                                        4204, 704, 513, 6229, 5716, 7893, 2714, 2907, 7005,
                                                        4381, 1988, 409, 5886, 7221, 1255, 1050, 6381, 7312,
                                                        6312, 2455, 3904, 5924, 2355, 487, 4624, 4513, 1044,
                                                        3587, 1438, 5280, 1818, 162, 3460, 8187, 1006, 5464,
                                                        2960, 7616, 3100, 3682, 3505, 114, 2970, 5073, 2046,
                                                        5745, 7559, 1333, 6701, 1706, 7975, 310, 2157, 6697,
                                                        2845, 1247, 581, 2925, 1211, 4410, 1555, 7424, 2328,
                                                        2162, 6831, 6269, 3087, 701, 5536, 2144, 330, 865,
                                                        417, 2246
                                                    },
                                                    new[]
                                                    {
                                                        1451, 7849, 1891, 3965, 4743, 2918, 7727, 1984,
                                                        1254, 3885, 1146, 8020, 5634, 1393, 5571, 3544,
                                                        8161, 2368, 6512, 2982, 4172, 1642, 3291, 3006,
                                                        1386, 6877, 1301, 5064, 4327, 6078, 7564, 6761,
                                                        2867, 7302, 5520, 6335, 3251, 2, 1596, 4238, 6009,
                                                        1865, 2104, 6120, 7711, 5300, 4456, 4047, 4168,
                                                        4849, 4299, 254, 18, 4961, 6139, 6145, 3218, 5501,
                                                        1083, 3231, 7983, 5320, 7526, 1396, 3618, 525, 6210,
                                                        6267, 6086, 7427, 5737, 3999, 4293, 503, 7484, 4916,
                                                        3725, 6634, 7387, 2783, 4789, 2297, 1906, 2124,
                                                        4836, 3768, 5425, 7987, 7816, 937, 5584, 6226, 209,
                                                        677, 3601, 7911, 8061, 5400, 33, 7635, 5596, 3018,
                                                        4267, 5573, 4538, 2609, 906, 671, 5834, 4488, 2212,
                                                        1092, 4235, 970, 6119, 6330, 6187, 1250, 1155, 3085,
                                                        3619, 7596, 6254, 5056, 6707, 6833, 3029, 4570,
                                                        2162, 1617, 5827, 2601, 7892, 7258, 2332, 2885,
                                                        2933, 5467, 4964, 4291, 3927, 6781, 2579, 4873,
                                                        2909, 6152, 7852, 1313, 3146, 3071, 4743, 7502,
                                                        6091, 7819, 2248, 717, 2858, 4449, 2090, 7014, 3236,
                                                        1583, 5948, 7504, 6478, 2208, 1841, 2775, 193, 6223,
                                                        5535, 3005, 3855, 1528, 462, 1017, 1603, 7303, 5154,
                                                        3354, 8160, 3432, 7282, 2098, 4438, 5138, 3080,
                                                        6530, 7152, 5346, 4721, 4727, 5961, 7596, 5306,
                                                        3653, 3650, 4274, 6666, 4682, 4677, 1983, 3882, 450,
                                                        3371, 5355, 1230, 4882, 7004, 7608, 2817, 6682,
                                                        4308, 4476, 599, 4624, 7256, 1476, 3591, 14, 7830,
                                                        6535, 1856, 6513, 491, 3412, 295, 2980, 2611, 106,
                                                        2399, 3295, 2109, 8143, 6553, 1049, 4563, 2702,
                                                        4185, 2346, 6168, 3392, 387, 5574, 4074, 6998, 487,
                                                        4516, 4612, 2250, 4829, 4919, 7686, 4136, 4468
                                                    },
                                                    new[]
                                                    {
                                                        4109, 5290, 4747, 1082, 477, 6965, 6642, 5423, 6937,
                                                        4426, 3621, 1637, 5131, 6802, 7412, 3887, 3367,
                                                        4076, 5386, 4524, 6182, 6513, 1507, 8102, 1876,
                                                        6931, 902, 2951, 3862, 7205, 4106, 4358, 2376, 4766,
                                                        392, 6132, 854, 2268, 7888, 559, 7753, 1020, 1308,
                                                        1363, 210, 5014, 2934, 5581, 5167, 4535, 1486, 5366,
                                                        3768, 470, 4598, 4789, 4046, 1211, 159, 753, 7330,
                                                        6807, 3159, 6459, 5601, 5706, 3592, 4319, 730, 6319,
                                                        1847, 8178, 1086, 1060, 1322, 7783, 7516, 2301,
                                                        2842, 1491, 3681, 7253, 2455, 8187, 7550, 4063,
                                                        5307, 7233, 6194, 744, 317, 6537, 6286, 7615, 5062,
                                                        5945, 6981, 4252, 6566, 4555, 7481, 553, 3712, 3191,
                                                        1713, 4754, 4128, 6984, 3339, 7426, 3529, 808, 6703,
                                                        5012, 3750, 2326, 3055, 950, 7373, 2424, 3518, 5520,
                                                        682, 3824, 1346, 4131, 3061, 1457, 7208, 3240, 2240,
                                                        1268, 5813, 5690, 4094, 2299, 6210, 6718, 1888,
                                                        1355, 3126, 5079, 4887, 6989, 4023, 487, 5992, 6275,
                                                        6870, 5451, 1282, 425, 1966, 141, 197, 6961, 5692,
                                                        4543, 7442, 7161, 7656, 7122, 2283, 1945, 7465,
                                                        6770, 7774, 3172, 6954, 3666, 2369, 6742, 132, 6567,
                                                        3508, 2823, 7929, 2294, 4030, 2707, 6793, 3922,
                                                        7221, 7854, 2625, 3031, 454, 6233, 6978, 6811, 2756,
                                                        3275, 5456, 1850, 3636, 6146, 1291, 4668, 4626,
                                                        5699, 4027, 4401, 4570, 4098, 3753, 5694, 8055,
                                                        1129, 3679, 6596, 3488, 6360, 3658, 7932, 532, 6696,
                                                        7130, 7478, 6006, 4187, 4981, 1795, 3181, 3388,
                                                        6702, 7048, 1185, 7252, 1200, 3523, 8029, 1018,
                                                        6920, 7970, 6845, 2858, 1137, 5723, 6293, 667, 3815,
                                                        2004, 4413, 468, 6107, 1368, 2120, 3677, 4201, 7857,
                                                        7747, 6978, 4667, 1692, 6530
                                                    },
                                                    new[]
                                                    {
                                                        3363, 7837, 7593, 3127, 2020, 3630, 7342, 197, 5431,
                                                        8162, 404, 7035, 2905, 703, 801, 3134, 2434, 6530,
                                                        6325, 180, 6714, 6087, 6666, 8084, 5175, 4255, 3664,
                                                        1075, 2305, 5631, 5961, 4922, 6750, 4986, 8172,
                                                        1484, 1908, 5844, 6039, 2351, 5221, 948, 1079, 4317,
                                                        7112, 227, 2098, 64, 307, 4465, 4731, 50, 1736,
                                                        4479, 6606, 1365, 4361, 770, 387, 7239, 7233, 6379,
                                                        1145, 3102, 6249, 2416, 3996, 7437, 7628, 4639,
                                                        7906, 7937, 4473, 4776, 5572, 2770, 267, 6457, 5837,
                                                        7068, 6835, 1385, 1286, 2190, 5441, 1979, 2851,
                                                        1012, 464, 4073, 3675, 8152, 7662, 4503, 1856, 463,
                                                        5558, 4166, 951, 5261, 6638, 2455, 207, 6924, 1705,
                                                        6308, 4320, 3113, 6554, 5886, 8006, 6318, 2956,
                                                        2457, 1004, 6964, 4576, 6810, 3741, 3852, 4003,
                                                        2134, 4671, 627, 4459, 1468, 7361, 6471, 4899, 3760,
                                                        6569, 1082, 8109, 1513, 8031, 7513, 5962, 7086,
                                                        5938, 1845, 1330, 4248, 4239, 2671, 426, 357, 6483,
                                                        3706, 1876, 2667, 6378, 1901, 5712, 4281, 6040,
                                                        1215, 1785, 2997, 967, 3101, 2504, 1149, 2238, 7322,
                                                        5551, 5698, 5310, 2107, 3699, 2189, 2266, 743, 2775,
                                                        4720, 217, 2819, 1795, 3162, 7559, 3092, 8077, 5627,
                                                        6695, 2678, 7550, 6604, 575, 4605, 5070, 6905, 2310,
                                                        10, 5667, 1734, 2113, 6465, 6070, 1202, 1943, 2723,
                                                        8131, 239, 5429, 3786, 1199, 3737, 5865, 2279, 7640,
                                                        808, 727, 2995, 3744, 193, 203, 7752, 4990, 6883,
                                                        6442, 4444, 4636, 1305, 6855, 6453, 5305, 2860,
                                                        3795, 5463, 4193, 1362, 2234, 5580, 6014, 1673,
                                                        5351, 1887, 2423, 1465, 2980, 6246, 7441, 4539, 246,
                                                        4695, 1928, 7490, 1093, 7264, 3713, 4728, 3638,
                                                        2690, 5175, 7962, 4396
                                                    },
                                                    new[]
                                                    {
                                                        2682, 756, 4003, 7167, 3539, 6120, 2870, 7803, 7333,
                                                        2067, 4262, 6233, 2945, 428, 7709, 4622, 2794, 4359,
                                                        2747, 4518, 192, 2520, 2940, 7630, 1096, 6997, 7415,
                                                        6108, 7433, 7477, 7284, 5882, 38, 774, 5105, 5539,
                                                        177, 6524, 5683, 5264, 2505, 3728, 1329, 4514, 1720,
                                                        6216, 65, 3757, 6879, 1573, 1705, 3827, 5611, 5935,
                                                        7073, 3487, 7346, 4296, 2016, 444, 7249, 3205, 7515,
                                                        7408, 510, 1149, 6415, 7880, 4609, 5529, 7266, 1490,
                                                        4884, 4072, 7044, 15, 2246, 1764, 7793, 6274, 1534,
                                                        1752, 4535, 4368, 2636, 5378, 5820, 2015, 7815,
                                                        3478, 5006, 7490, 5943, 2428, 4336, 7474, 1530,
                                                        3437, 1510, 223, 2307, 2010, 3933, 7600, 557, 6477,
                                                        1828, 1359, 7684, 4026, 4051, 1180, 3462, 3833,
                                                        5243, 1558, 2631, 390, 5659, 7639, 2966, 6861, 305,
                                                        622, 3549, 4640, 5058, 334, 8090, 5211, 480, 6801,
                                                        6020, 561, 3163, 7702, 1758, 772, 6772, 705, 5647,
                                                        93, 4775, 6085, 5827, 2668, 3708, 399, 3669, 428,
                                                        2754, 7166, 7688, 3104, 6169, 6126, 1061, 5730,
                                                        4448, 5789, 8003, 3611, 6556, 555, 6583, 5494, 3343,
                                                        4155, 1346, 1296, 364, 4572, 5034, 612, 1179, 2600,
                                                        7011, 7573, 1163, 5379, 5470, 4219, 7989, 3749,
                                                        4234, 4754, 3288, 4064, 4801, 5236, 5838, 303, 2666,
                                                        1274, 7581, 7047, 4112, 2735, 7499, 3566, 7646,
                                                        6376, 6576, 6270, 7192, 1457, 2687, 4196, 7756, 170,
                                                        300, 5222, 1756, 6117, 1107, 5015, 1731, 5427, 7796,
                                                        7751, 8004, 2482, 3830, 440, 1546, 5389, 7946, 4065,
                                                        882, 4105, 1969, 2860, 4293, 5740, 554, 1600, 7210,
                                                        969, 4381, 7222, 643, 4783, 7111, 6719, 3109, 4427,
                                                        5979, 6548, 3446, 5252, 450, 919, 999, 2637, 6187
                                                    },
                                                    new[]
                                                    {
                                                        6018, 7770, 7630, 3779, 2685, 1436, 5475, 3909,
                                                        3792, 792, 7908, 5009, 4017, 5695, 7142, 7710, 7188,
                                                        701, 6713, 3541, 7305, 7960, 2033, 6093, 4308, 4506,
                                                        2950, 342, 2769, 169, 1529, 4650, 6331, 4053, 5629,
                                                        483, 1604, 1113, 1907, 5347, 3466, 3359, 4224, 7399,
                                                        4332, 1413, 2904, 6777, 3925, 3340, 504, 7089, 1448,
                                                        5594, 6768, 5587, 2552, 3100, 6262, 5923, 2502, 17,
                                                        4783, 4455, 1015, 4882, 2208, 5203, 2394, 4038,
                                                        7992, 5551, 983, 7509, 2440, 193, 1549, 5772, 8154,
                                                        6346, 1123, 3699, 2629, 4184, 2308, 7329, 2286,
                                                        6928, 4756, 5313, 4836, 6197, 387, 7979, 955, 6204,
                                                        1686, 32, 3607, 2054, 5075, 5432, 5379, 3804, 1851,
                                                        6766, 7765, 3933, 6123, 7256, 154, 6129, 5382, 7651,
                                                        7786, 4787, 7933, 4830, 6541, 7490, 2113, 4813,
                                                        7429, 6334, 6456, 7810, 608, 3956, 6185, 3839, 6806,
                                                        7570, 1958, 6518, 6834, 1131, 5666, 7932, 3878,
                                                        5716, 131, 2514, 3246, 4545, 3929, 3317, 4848, 6860,
                                                        2857, 1885, 2042, 168, 5017, 3578, 4684, 3309, 392,
                                                        7362, 1368, 6613, 6744, 7373, 2484, 4081, 4391,
                                                        5659, 7357, 5712, 6262, 1752, 4715, 1211, 5186,
                                                        5910, 3285, 3496, 1231, 2500, 1762, 5715, 7047,
                                                        4991, 3393, 7406, 6776, 1862, 1586, 2089, 89, 2765,
                                                        5007, 6443, 2702, 4830, 7215, 4655, 5633, 5984,
                                                        4116, 4895, 6855, 7728, 2268, 7677, 600, 1746, 5194,
                                                        437, 7959, 1700, 2167, 3906, 2801, 6567, 4024, 7516,
                                                        3625, 732, 2627, 5442, 7801, 2763, 249, 1566, 1468,
                                                        8007, 4891, 7540, 4772, 184, 2792, 1822, 389, 2960,
                                                        3239, 4137, 1610, 853, 186, 6056, 2664, 330, 2736,
                                                        5231, 6111, 647, 5167, 94, 7524, 7302, 2767, 364,
                                                        624, 116, 6749
                                                    },
                                                    new[]
                                                    {
                                                        6014, 7503, 732, 2126, 7005, 6318, 4495, 2019, 1887,
                                                        8165, 6911, 3478, 3445, 2026, 3969, 7971, 7681,
                                                        5668, 863, 7049, 8118, 2715, 1257, 3079, 1503, 5707,
                                                        6486, 4772, 1163, 3856, 6013, 8021, 5380, 6937,
                                                        8089, 3037, 341, 2203, 1530, 2956, 5915, 2375, 4140,
                                                        6565, 6192, 796, 6785, 1615, 735, 2639, 4839, 1918,
                                                        247, 3395, 1472, 6504, 2975, 3111, 6466, 6916, 1366,
                                                        8089, 1760, 3605, 1152, 5876, 673, 6344, 4262, 5019,
                                                        4877, 5491, 8055, 6111, 463, 5113, 957, 6687, 7917,
                                                        7641, 3856, 830, 1960, 6435, 6852, 6308, 6289, 7275,
                                                        1276, 2649, 3660, 7028, 936, 2633, 1864, 1610, 2253,
                                                        5007, 4099, 2956, 1854, 548, 5412, 2961, 2992, 866,
                                                        2072, 8042, 1655, 3173, 5885, 2405, 1602, 2700,
                                                        2263, 8041, 5551, 3053, 3814, 1190, 2011, 7266,
                                                        3104, 1656, 2676, 3183, 3594, 1991, 7590, 3921,
                                                        1625, 7174, 4908, 4946, 8036, 3586, 5107, 4469,
                                                        1727, 4880, 1502, 7851, 2781, 5695, 1736, 2345, 342,
                                                        3632, 7395, 6692, 5197, 3040, 4722, 7863, 891, 4369,
                                                        3634, 6704, 2437, 4959, 5012, 6418, 6453, 5397,
                                                        3633, 961, 2370, 5474, 5414, 6794, 3733, 795, 1903,
                                                        7453, 5051, 7653, 2586, 3454, 4078, 1090, 7447,
                                                        5012, 2724, 2444, 824, 286, 2583, 7280, 3364, 1938,
                                                        1537, 6743, 6978, 3354, 2263, 1004, 7650, 3007,
                                                        2601, 5144, 3321, 6957, 7345, 3591, 5427, 5077,
                                                        2998, 2675, 5156, 6669, 8127, 3046, 5544, 3364, 835,
                                                        109, 2536, 5592, 2338, 6795, 1951, 2105, 6197, 7847,
                                                        6595, 2640, 6254, 281, 5799, 2459, 638, 5304, 4952,
                                                        3859, 6163, 2859, 5310, 2181, 1634, 5021, 153, 7736,
                                                        6591, 8055, 6489, 1471, 161, 5191, 5874, 2263, 6230,
                                                        409, 6769, 733, 1981
                                                    },
                                                    new[]
                                                    {
                                                        501, 3350, 6641, 4292, 7815, 1449, 7930, 3774, 7149,
                                                        2256, 3473, 2204, 2611, 2147, 7053, 1456, 2643, 874,
                                                        5172, 3166, 2045, 7725, 4567, 4410, 369, 1474, 7689,
                                                        3075, 903, 6401, 7684, 6800, 5519, 4407, 7399, 4915,
                                                        4992, 3331, 7964, 4265, 7933, 5661, 305, 6307, 6645,
                                                        6754, 4222, 1639, 8072, 6290, 7848, 547, 6528, 6092,
                                                        3583, 502, 1191, 6789, 6500, 2252, 1047, 2784, 5023,
                                                        2362, 48, 3826, 3273, 3164, 3564, 1685, 5843, 3515,
                                                        6603, 6636, 911, 7074, 4955, 3429, 6530, 4035, 7573,
                                                        4356, 1637, 2009, 5518, 5976, 1901, 481, 2654, 1937,
                                                        7537, 2125, 6386, 125, 407, 6257, 4490, 3506, 7043,
                                                        1576, 4151, 5152, 383, 602, 7145, 8088, 1391, 8160,
                                                        1749, 1579, 349, 7846, 3232, 4577, 1675, 4747, 5375,
                                                        7680, 4403, 2756, 4302, 8063, 7900, 45, 3023, 5682,
                                                        659, 5034, 2209, 4597, 3640, 6314, 536, 1373, 6522,
                                                        6005, 3658, 5085, 2900, 6413, 7576, 3649, 7870,
                                                        4629, 1879, 9, 7477, 7291, 2794, 7855, 1916, 2719,
                                                        5707, 50, 5838, 4409, 1261, 4121, 7032, 4763, 816,
                                                        4190, 3002, 7223, 911, 2079, 7283, 1750, 5492, 2872,
                                                        6060, 5956, 5638, 3829, 3712, 7809, 5604, 780, 6152,
                                                        5363, 7044, 3952, 746, 7806, 3800, 7951, 4254, 734,
                                                        3003, 5537, 90, 3036, 8189, 1320, 2844, 7524, 6156,
                                                        4045, 1158, 7886, 4179, 598, 8148, 4364, 7907, 2871,
                                                        7433, 7649, 3739, 859, 6578, 6639, 3139, 7637, 1146,
                                                        4952, 337, 1814, 3718, 4403, 6070, 6373, 5333, 4130,
                                                        2871, 6758, 389, 751, 2942, 2096, 4490, 1603, 1661,
                                                        4115, 7616, 228, 3092, 7314, 4954, 8012, 6640, 1266,
                                                        2557, 2669, 6387, 4739, 5310, 3589, 5722, 6265, 267,
                                                        1756, 4669, 1689, 7842
                                                    },
                                                    new[]
                                                    {
                                                        4170, 2425, 7839, 6335, 1867, 6276, 5696, 1960,
                                                        2112, 5158, 2449, 983, 2758, 1762, 3824, 3257, 455,
                                                        6638, 7739, 8121, 1025, 5484, 3176, 5125, 829, 2751,
                                                        3452, 3284, 2956, 2920, 8007, 4484, 1211, 5291,
                                                        1956, 482, 2972, 7239, 4906, 6409, 927, 3271, 1397,
                                                        350, 7991, 4685, 34, 271, 2233, 5569, 7173, 5879,
                                                        7842, 3853, 5261, 5357, 289, 2242, 1619, 6952, 6276,
                                                        4542, 3318, 5819, 2435, 2699, 7568, 6585, 1286,
                                                        2760, 6993, 7658, 4198, 2219, 7118, 7795, 4533,
                                                        4205, 7099, 8184, 6878, 1923, 2351, 2816, 7334, 512,
                                                        4074, 7809, 4514, 3820, 2344, 806, 2469, 195, 1454,
                                                        4949, 6508, 1044, 2978, 3242, 4603, 2464, 4207,
                                                        1211, 5569, 6501, 4601, 8109, 3336, 2033, 3111,
                                                        1173, 7367, 6282, 8081, 2142, 7183, 271, 3103, 1090,
                                                        7848, 1097, 7069, 2398, 3505, 6046, 5834, 689, 3423,
                                                        3587, 565, 1899, 1357, 7127, 949, 4656, 2976, 1166,
                                                        1922, 3448, 6840, 7389, 7834, 3450, 7624, 4284, 113,
                                                        19, 3024, 1963, 4619, 2508, 2744, 1791, 1868, 5413,
                                                        681, 4238, 7717, 2855, 6515, 7233, 4795, 413, 3062,
                                                        1756, 531, 5461, 1448, 7392, 2162, 1852, 2832, 5966,
                                                        3947, 5437, 49, 3035, 4611, 3117, 7606, 1411, 3853,
                                                        3853, 6391, 645, 6410, 922, 3324, 2148, 877, 5455,
                                                        5616, 5214, 2289, 5864, 4428, 5462, 3946, 5118, 90,
                                                        6940, 7103, 832, 4882, 471, 1323, 2341, 7635, 5576,
                                                        3778, 459, 3172, 1854, 986, 112, 5009, 1016, 1450,
                                                        771, 3644, 5704, 5448, 3495, 2841, 6195, 6548, 2387,
                                                        4446, 741, 3503, 747, 3886, 7266, 6424, 538, 5286,
                                                        5447, 7064, 3483, 217, 3938, 2082, 5980, 6907, 5900,
                                                        8088, 6698, 7294, 7633, 7620, 4575, 2298, 1479, 5079
                                                    },
                                                    new[]
                                                    {
                                                        3699, 4440, 2107, 6827, 3630, 2007, 6933, 5009,
                                                        1048, 6320, 7396, 7757, 4844, 241, 2502, 4147, 7150,
                                                        3745, 1403, 794, 5030, 1233, 4347, 6701, 6338, 4627,
                                                        4325, 2548, 4803, 624, 3313, 3621, 5937, 5794, 7398,
                                                        53, 5021, 1071, 324, 7245, 213, 823, 8177, 4360,
                                                        8041, 5510, 6526, 5433, 2810, 6445, 3322, 2090,
                                                        7248, 898, 6022, 4727, 7704, 6352, 6773, 2432, 4424,
                                                        3540, 197, 2381, 3638, 5103, 5175, 3972, 6344, 7279,
                                                        3897, 2752, 4338, 6625, 2491, 2187, 5449, 5623,
                                                        1816, 606, 7319, 7064, 152, 1604, 4257, 4006, 2508,
                                                        6019, 5130, 8139, 5173, 2102, 7540, 185, 2952, 1028,
                                                        266, 639, 7574, 5915, 5063, 5454, 4662, 6618, 3930,
                                                        1364, 256, 658, 4732, 819, 6370, 4572, 5315, 1110,
                                                        2482, 806, 3489, 3921, 7291, 4038, 2472, 638, 529,
                                                        867, 2468, 1321, 2034, 6521, 4395, 5997, 7197, 5152,
                                                        4762, 8185, 6677, 2207, 5897, 5983, 1965, 4956,
                                                        7668, 7055, 1189, 4226, 5262, 2283, 4468, 3423,
                                                        7219, 6404, 2011, 6456, 3290, 180, 6756, 3189, 7899,
                                                        3598, 3197, 1177, 6894, 7446, 2361, 7169, 1331,
                                                        4576, 7205, 4754, 1482, 999, 162, 1485, 1969, 3278,
                                                        6262, 5297, 245, 6549, 1097, 3291, 5241, 1012, 2242,
                                                        3754, 2280, 6569, 289, 108, 2319, 3389, 1809, 5394,
                                                        4961, 1178, 5039, 7307, 503, 49, 1090, 5018, 5404,
                                                        2517, 4549, 5136, 8077, 1322, 532, 7863, 3232, 7597,
                                                        2052, 5143, 6232, 1308, 8115, 5050, 8061, 6394,
                                                        5805, 1143, 8165, 3090, 512, 513, 2173, 1778, 3076,
                                                        7756, 7341, 4559, 2733, 6553, 2898, 5885, 4582,
                                                        7447, 3999, 4391, 2212, 5808, 7365, 688, 8164, 6855,
                                                        2004, 2512, 4550, 4360, 889, 5011, 1532, 158, 7675,
                                                        5067, 1242
                                                    },
                                                    new[]
                                                    {
                                                        7515, 5580, 1398, 5994, 4163, 6308, 4197, 3237,
                                                        6509, 2023, 1865, 3728, 2353, 3744, 649, 2133, 1466,
                                                        6197, 852, 4213, 1865, 3165, 1026, 6238, 7646, 7584,
                                                        3387, 5412, 4380, 1627, 3725, 3296, 4559, 5732,
                                                        5335, 1568, 4540, 2131, 4846, 1207, 6243, 3938,
                                                        8131, 2141, 7896, 4849, 535, 2815, 1060, 3751, 4261,
                                                        1284, 1461, 5607, 2958, 3633, 1917, 76, 826, 4653,
                                                        1896, 6442, 3994, 5026, 8052, 2227, 4845, 490, 4411,
                                                        5221, 3993, 6896, 3471, 1250, 5434, 3432, 4434,
                                                        2724, 6270, 6637, 6475, 6093, 1065, 5644, 2408, 242,
                                                        79, 1249, 5473, 5844, 7760, 7980, 4512, 7868, 7044,
                                                        1900, 3689, 7289, 5152, 2831, 1492, 5132, 4546,
                                                        4367, 6000, 3333, 2434, 4532, 8068, 4768, 5565,
                                                        7901, 6100, 7975, 6187, 7466, 3155, 694, 5677, 5409,
                                                        7061, 1848, 8004, 4393, 5622, 4531, 4132, 4280,
                                                        4657, 4586, 623, 1533, 5717, 106, 5546, 885, 1240,
                                                        1898, 962, 5702, 5576, 2992, 6070, 3166, 6028, 6511,
                                                        5368, 158, 6447, 7518, 2773, 4479, 1176, 5116, 7356,
                                                        4402, 7737, 3311, 6580, 3896, 2001, 177, 8089, 2219,
                                                        2574, 6035, 3615, 2807, 5566, 3660, 4057, 6232,
                                                        4783, 3045, 1025, 2231, 3272, 7116, 3802, 5489,
                                                        5488, 7546, 4531, 1707, 6680, 6126, 6152, 3422, 307,
                                                        7441, 7517, 8103, 3275, 108, 6267, 2872, 1227, 1132,
                                                        6031, 6405, 6824, 2711, 926, 2899, 1654, 1626, 3180,
                                                        7889, 6153, 4047, 5053, 154, 4896, 937, 4352, 3398,
                                                        2750, 3468, 2497, 2695, 2179, 6317, 41, 1468, 4360,
                                                        2891, 798, 1086, 4358, 1404, 3460, 1632, 1406, 6438,
                                                        3238, 3064, 6491, 3913, 2137, 7994, 6926, 2264,
                                                        4471, 7350, 2914, 6464, 1819, 2739, 3446, 4296,
                                                        3791, 3958, 7007, 6983, 3275
                                                    },
                                                    new[]
                                                    {
                                                        8077, 6356, 7495, 5817, 2178, 1098, 7446, 7462,
                                                        6865, 7222, 5344, 7493, 3449, 2297, 2207, 8075,
                                                        4108, 260, 6282, 7437, 903, 5590, 7583, 2143, 1550,
                                                        1748, 1382, 2510, 7039, 6719, 3846, 6568, 6546,
                                                        3000, 1919, 703, 1569, 2899, 7921, 3307, 5167, 1358,
                                                        2846, 713, 7960, 5719, 5733, 5732, 5668, 4653, 7374,
                                                        3388, 1384, 3805, 7694, 7841, 5831, 3557, 6376,
                                                        4261, 3034, 1773, 5688, 4444, 3806, 4824, 3569,
                                                        2867, 2079, 2919, 1465, 6474, 2956, 7897, 2365,
                                                        3927, 1507, 5707, 4295, 2556, 5545, 1488, 943, 6378,
                                                        7001, 2433, 4881, 7083, 6974, 4554, 700, 4587, 7734,
                                                        4042, 1101, 2951, 1067, 2755, 5072, 6371, 4030,
                                                        2413, 6428, 6045, 4209, 1210, 5138, 1603, 2939,
                                                        4824, 39, 5929, 3228, 4574, 3695, 1059, 1837, 7161,
                                                        3766, 4729, 3629, 2181, 7394, 6653, 2176, 6584,
                                                        7801, 140, 2726, 2466, 1928, 2025, 5233, 8037, 5104,
                                                        4739, 1275, 211, 2140, 5227, 749, 118, 4410, 3486,
                                                        1430, 8006, 4304, 2472, 7245, 4397, 4757, 2714,
                                                        1473, 7951, 7117, 1135, 3852, 1130, 6205, 1325,
                                                        2916, 5661, 3932, 1635, 2624, 5689, 384, 7064, 4228,
                                                        7783, 1784, 2156, 6060, 7521, 832, 6188, 3361, 568,
                                                        5322, 5053, 4013, 2242, 5677, 18, 6539, 6715, 3131,
                                                        6540, 5083, 5543, 5677, 8026, 7352, 1202, 1377,
                                                        6290, 2247, 2185, 6215, 219, 4331, 3112, 3369, 2991,
                                                        2199, 2648, 2927, 5338, 3040, 2839, 5905, 6194,
                                                        1231, 1740, 1847, 3051, 8170, 2968, 1378, 121, 2844,
                                                        192, 592, 6294, 3461, 5002, 7425, 6455, 4120, 1770,
                                                        3131, 5444, 2875, 5377, 1230, 662, 6983, 5649, 3557,
                                                        4113, 7066, 1015, 7808, 6254, 6164, 1944, 3613,
                                                        7677, 4806, 7657, 1830, 196, 5529, 1565, 7005
                                                    },
                                                    new[]
                                                    {
                                                        7320, 3570, 6150, 2968, 8010, 2048, 7870, 3643,
                                                        1297, 7619, 5385, 3283, 4303, 4968, 3501, 2683,
                                                        6848, 1124, 826, 5337, 4372, 1385, 913, 2835, 6871,
                                                        4293, 420, 4382, 3408, 6386, 423, 5258, 1748, 783,
                                                        6137, 6622, 6481, 4362, 4609, 2110, 4931, 3115,
                                                        3172, 6061, 7594, 3232, 6071, 339, 1521, 3234, 3351,
                                                        7910, 4217, 7745, 914, 7228, 5737, 5550, 976, 7341,
                                                        7753, 6629, 344, 5100, 1054, 5285, 7369, 3290, 5127,
                                                        4821, 8027, 3541, 4702, 7280, 1603, 5735, 4356,
                                                        2925, 7359, 8017, 3680, 1375, 2931, 3413, 6310, 207,
                                                        1837, 7766, 6498, 1030, 5839, 6495, 6080, 6279,
                                                        6976, 5883, 2251, 3234, 2692, 3722, 1939, 4361,
                                                        3496, 5054, 5096, 5699, 2612, 6319, 504, 2849, 3949,
                                                        6406, 154, 840, 4761, 2501, 1978, 7147, 6555, 3113,
                                                        3073, 4778, 3679, 902, 6412, 6105, 5667, 2697, 6189,
                                                        6443, 415, 6756, 5913, 4697, 4409, 7938, 7086, 4948,
                                                        6147, 3147, 6337, 6738, 1514, 4858, 6374, 7731, 305,
                                                        2743, 8170, 2181, 1948, 7448, 4523, 6082, 99, 5568,
                                                        3037, 3653, 1198, 1105, 5359, 2545, 4568, 3766,
                                                        4744, 3086, 1335, 2638, 6465, 14, 5648, 3126, 734,
                                                        1813, 7266, 1535, 1168, 5062, 5709, 7808, 212, 6741,
                                                        2347, 1983, 1096, 7527, 5982, 6544, 7032, 7715, 118,
                                                        2399, 4712, 253, 3211, 3473, 6357, 5694, 7530, 4364,
                                                        4046, 5321, 4326, 683, 959, 2697, 2008, 4380, 643,
                                                        6821, 479, 2025, 8056, 0, 1106, 1715, 3462, 7692,
                                                        4868, 7839, 6499, 6951, 7593, 886, 2712, 3390, 7558,
                                                        7901, 5077, 660, 8135, 4711, 4436, 7637, 2794, 77,
                                                        6814, 1155, 7156, 4704, 212, 7458, 757, 7405, 2263,
                                                        2833, 7288, 5503, 3048, 2265, 8092, 4214, 201, 5049,
                                                        6671
                                                    },
                                                    new[]
                                                    {
                                                        5411, 1337, 1217, 7053, 2661, 4044, 8060, 5480,
                                                        7941, 3752, 3548, 265, 3584, 6989, 3588, 2353, 1783,
                                                        5223, 5617, 1976, 1825, 3706, 6546, 5561, 536, 1981,
                                                        2484, 2390, 4937, 773, 3785, 7216, 6375, 4704, 5634,
                                                        185, 6240, 6360, 7591, 3846, 3683, 3393, 392, 2772,
                                                        5257, 4684, 209, 8075, 946, 6817, 6921, 1701, 1751,
                                                        4182, 2543, 5655, 6053, 3641, 1270, 803, 164, 5363,
                                                        1363, 5946, 1565, 3244, 6706, 1982, 2843, 5922,
                                                        7223, 3522, 2992, 3066, 1205, 8131, 4709, 2208,
                                                        4767, 5545, 7969, 5535, 7128, 258, 7230, 6738, 2523,
                                                        3951, 8107, 1924, 6123, 7861, 4995, 2583, 5993,
                                                        6631, 7228, 2228, 331, 6131, 4406, 3108, 295, 3217,
                                                        758, 4127, 6101, 4165, 2739, 5293, 3400, 8113, 4713,
                                                        3739, 7313, 7284, 6195, 5952, 4167, 6941, 891, 276,
                                                        6173, 6384, 2045, 3964, 2541, 621, 2300, 7338, 1445,
                                                        2638, 5720, 4373, 1423, 4529, 4481, 826, 6208, 1525,
                                                        1810, 7767, 5543, 3288, 1575, 1162, 144, 643, 2050,
                                                        4703, 3908, 4006, 3038, 4930, 6516, 5963, 2886,
                                                        2056, 3661, 7736, 968, 2692, 4443, 7486, 7656, 2585,
                                                        86, 1501, 6883, 7177, 7712, 2803, 251, 6643, 4906,
                                                        4675, 3443, 4663, 7790, 1613, 1024, 5716, 7722,
                                                        2209, 1281, 7790, 7501, 1575, 406, 2881, 6753, 1437,
                                                        3323, 1173, 3507, 5284, 7199, 2643, 1829, 590, 4024,
                                                        7840, 7358, 1336, 4010, 4457, 2527, 1287, 5097,
                                                        6767, 7425, 3302, 244, 2150, 506, 5148, 4094, 5221,
                                                        6656, 3593, 4409, 4789, 4466, 2251, 1599, 737, 2647,
                                                        889, 4175, 7923, 5014, 7706, 4255, 4138, 1916, 1937,
                                                        6306, 5679, 1542, 1139, 6503, 799, 2618, 1615, 6462,
                                                        4539, 2720, 8066, 1804, 7311, 2243, 2758, 389, 69,
                                                        1508
                                                    },
                                                    new[]
                                                    {
                                                        7410, 5415, 6743, 7414, 97, 721, 5848, 4377, 3082,
                                                        4887, 970, 4748, 5023, 1216, 5915, 4569, 7442, 638,
                                                        5180, 2388, 1473, 4857, 7994, 5154, 4945, 6010,
                                                        2234, 1117, 5893, 4568, 3491, 1929, 4324, 163, 3420,
                                                        732, 961, 7051, 7370, 2409, 5525, 6462, 2402, 1998,
                                                        6862, 5016, 6135, 2379, 5091, 3535, 5574, 539, 1160,
                                                        1630, 3225, 3434, 4949, 1050, 7806, 3139, 7359,
                                                        7174, 5514, 1483, 6492, 8021, 5991, 2913, 448, 3340,
                                                        3024, 6055, 4232, 6444, 5355, 3684, 6448, 4881,
                                                        6491, 4414, 5449, 3373, 2835, 4274, 2099, 1333,
                                                        3584, 2704, 3373, 1474, 5082, 1534, 5351, 861, 205,
                                                        8013, 6524, 2464, 4100, 121, 2928, 658, 5592, 1973,
                                                        5383, 1862, 7853, 5500, 3531, 5856, 1807, 5097,
                                                        2124, 4935, 3021, 1682, 2797, 7395, 5333, 1530,
                                                        3574, 1408, 1508, 5598, 4750, 2505, 8173, 4103,
                                                        5782, 8171, 4160, 309, 6331, 1121, 7828, 5620, 2207,
                                                        1842, 3565, 3725, 6100, 4879, 4156, 1114, 168, 6907,
                                                        4748, 6215, 6161, 6897, 3752, 5658, 6965, 6758,
                                                        5253, 4481, 873, 7710, 876, 7578, 1457, 2498, 3864,
                                                        1797, 7936, 4061, 4487, 4794, 1070, 3083, 1252,
                                                        6356, 821, 3662, 3458, 2400, 6278, 3882, 2406, 2127,
                                                        1780, 7484, 399, 3915, 1447, 2059, 2987, 7561, 1111,
                                                        87, 119, 3337, 197, 2186, 1408, 8181, 6906, 5168,
                                                        7631, 8101, 4283, 5147, 6305, 329, 6304, 3000, 1689,
                                                        8137, 6903, 3738, 4140, 271, 4035, 6701, 1162, 6550,
                                                        2145, 3152, 7271, 7259, 2670, 810, 2729, 1764, 5696,
                                                        5999, 5191, 4668, 5324, 8055, 6863, 1565, 3525,
                                                        6278, 6694, 6043, 1733, 7444, 2808, 8184, 388, 628,
                                                        3407, 993, 5213, 3522, 5344, 3580, 2869, 2500, 1875,
                                                        4030, 2097, 4732, 5274
                                                    },
                                                    new[]
                                                    {
                                                        179, 4833, 4960, 3831, 5607, 7172, 5291, 4080, 2129,
                                                        1637, 5472, 6388, 1076, 6917, 3351, 5070, 1617,
                                                        5918, 5009, 339, 7928, 588, 520, 5639, 1175, 1400,
                                                        5274, 800, 6248, 649, 5264, 4226, 7953, 6756, 3099,
                                                        3013, 256, 6586, 3947, 4233, 904, 4424, 1401, 7387,
                                                        4408, 6108, 1100, 7171, 5730, 6870, 376, 2788, 5491,
                                                        2126, 1540, 4170, 1246, 1915, 7917, 2460, 6032,
                                                        3989, 2810, 5857, 1290, 1597, 6267, 7053, 7490,
                                                        7139, 7099, 680, 6115, 7349, 2544, 6145, 7881, 5907,
                                                        3481, 5445, 351, 268, 1660, 382, 3353, 1910, 6247,
                                                        4192, 6338, 2621, 4208, 6291, 3768, 6319, 4995,
                                                        2343, 4136, 6421, 6453, 3718, 1034, 3667, 7644,
                                                        2341, 3037, 4809, 6359, 1471, 2455, 2828, 7332,
                                                        6693, 7090, 4538, 3797, 258, 5300, 3325, 4909, 7667,
                                                        5370, 5849, 4957, 2994, 1774, 2108, 1393, 6447,
                                                        5235, 800, 7169, 3163, 5412, 2892, 2695, 3289, 4564,
                                                        2342, 5362, 6763, 5747, 5579, 7481, 7632, 3391,
                                                        5461, 1538, 5762, 8172, 7243, 4946, 7657, 1506,
                                                        5159, 944, 6562, 654, 4221, 3267, 2581, 917, 811,
                                                        95, 4244, 2251, 4411, 5504, 6038, 2774, 5341, 2281,
                                                        5008, 1191, 4186, 2436, 5572, 7606, 2510, 652, 2096,
                                                        725, 3868, 132, 3986, 1466, 2461, 7021, 6131, 332,
                                                        5853, 4296, 4533, 6406, 4318, 6688, 7928, 2370, 272,
                                                        3023, 6796, 1064, 6590, 7100, 1757, 2688, 3869,
                                                        3246, 3273, 250, 7031, 6637, 3281, 2074, 4107, 1347,
                                                        2241, 3015, 4657, 1745, 2869, 2566, 1557, 6777,
                                                        6116, 6687, 936, 7376, 7949, 7973, 4251, 3104, 360,
                                                        5625, 6438, 4954, 2728, 5258, 3475, 2780, 5430,
                                                        6864, 1655, 6571, 2327, 2008, 6160, 2644, 5787,
                                                        1479, 1623, 2710, 5177, 6160, 6083, 1780
                                                    },
                                                    new[]
                                                    {
                                                        5172, 5806, 1299, 1575, 7901, 39, 2823, 6541, 6764,
                                                        7701, 5987, 5555, 8071, 104, 181, 5914, 7960, 7838,
                                                        2130, 891, 7435, 462, 6043, 3639, 466, 7249, 6600,
                                                        1118, 6246, 3297, 5629, 2757, 703, 8055, 1197, 6424,
                                                        1067, 126, 1200, 1766, 2087, 3992, 7920, 7805, 1199,
                                                        797, 906, 7408, 6502, 4039, 6543, 1276, 4812, 4029,
                                                        4245, 4066, 5622, 4723, 3948, 5894, 3567, 7534,
                                                        6548, 5445, 3, 5241, 8031, 5242, 6886, 5087, 2788,
                                                        1512, 5714, 5374, 3277, 7067, 2552, 4851, 2794,
                                                        1227, 6573, 1018, 2692, 4624, 3886, 7527, 6171,
                                                        3142, 4519, 3950, 5322, 7208, 4364, 7477, 3891, 949,
                                                        4062, 6837, 7636, 3788, 7936, 7459, 6693, 1942,
                                                        2021, 1027, 5243, 5650, 3984, 144, 827, 1986, 4189,
                                                        1406, 61, 4033, 3555, 2081, 5788, 1178, 1843, 7664,
                                                        7305, 3249, 2589, 8059, 3591, 1021, 4167, 7253,
                                                        1255, 3831, 256, 5724, 7092, 4375, 3064, 7759, 6495,
                                                        7328, 1342, 629, 705, 7264, 5703, 2348, 7087, 4219,
                                                        5117, 2155, 1711, 5414, 7912, 7689, 262, 7787, 1245,
                                                        1427, 1460, 5221, 2425, 198, 1459, 1005, 4372, 6540,
                                                        4890, 1789, 4680, 4471, 4896, 260, 6134, 4234, 3743,
                                                        4857, 6905, 6441, 5216, 2786, 7875, 3954, 4525,
                                                        6240, 2922, 3571, 6473, 7165, 788, 447, 3329, 89,
                                                        2412, 459, 2791, 6636, 7889, 7880, 4789, 2225, 8190,
                                                        7264, 5049, 4811, 4271, 7914, 2775, 8062, 7518,
                                                        2035, 7112, 3146, 6868, 4717, 318, 4071, 320, 97,
                                                        1027, 6148, 833, 4591, 320, 7295, 899, 40, 3748,
                                                        414, 2649, 5351, 1317, 4860, 2532, 1584, 2221, 5602,
                                                        3705, 4078, 137, 7775, 7002, 2684, 6649, 7490, 1078,
                                                        1786, 7030, 5597, 4919, 4058, 605, 7166, 8013, 4478,
                                                        2350
                                                    },
                                                    new[]
                                                    {
                                                        5523, 5645, 1773, 6721, 4242, 5147, 7167, 4186,
                                                        5082, 7516, 6511, 1287, 117, 7948, 948, 4577, 2605,
                                                        4090, 5257, 7056, 5468, 2392, 521, 2586, 5582, 6379,
                                                        4094, 2696, 1046, 5540, 2982, 262, 6193, 5995, 7759,
                                                        3553, 3361, 4807, 3725, 829, 4497, 4910, 4704, 2078,
                                                        5754, 7259, 6298, 723, 8091, 3490, 5705, 1034, 4319,
                                                        10, 3139, 2931, 3664, 1645, 3959, 7711, 5400, 1744,
                                                        6753, 713, 5507, 4426, 6953, 4068, 3032, 3546, 1918,
                                                        6970, 5004, 885, 7477, 2347, 7391, 1011, 4530, 8086,
                                                        3713, 7589, 1870, 4363, 2016, 2598, 1674, 520, 7734,
                                                        2071, 8178, 3564, 1304, 3501, 4597, 1270, 1512,
                                                        3049, 5781, 5736, 3521, 441, 2053, 2331, 5907, 2575,
                                                        3077, 6612, 6572, 3578, 266, 3006, 3907, 175, 921,
                                                        3784, 6660, 72, 4820, 2686, 1349, 3761, 5369, 7650,
                                                        4215, 3760, 1135, 8145, 6737, 71, 7973, 936, 2406,
                                                        979, 2556, 1510, 3396, 1327, 1711, 2866, 6448, 4191,
                                                        1982, 1457, 1824, 3964, 4997, 3286, 2705, 499, 5475,
                                                        275, 7240, 1940, 5885, 1083, 4787, 5693, 234, 6431,
                                                        5844, 6238, 6637, 3454, 2386, 3993, 173, 776, 1205,
                                                        7678, 6632, 767, 3749, 6589, 2211, 5057, 3335, 3744,
                                                        6480, 6605, 7515, 5471, 6644, 4791, 5267, 5269,
                                                        6647, 4257, 4769, 173, 761, 564, 3566, 7333, 6696,
                                                        7085, 7474, 4863, 3898, 6608, 6190, 2208, 7666,
                                                        3460, 3537, 1985, 79, 7719, 1237, 1979, 8121, 3153,
                                                        3316, 7664, 2134, 6559, 54, 6521, 4396, 3920, 2867,
                                                        6214, 3017, 200, 5418, 7108, 3602, 4008, 5142, 2948,
                                                        2588, 7478, 6894, 5110, 2964, 5546, 6485, 2509,
                                                        1675, 6293, 6852, 6110, 9, 3952, 1531, 2422, 4610,
                                                        4637, 6110, 2192, 1282, 195, 2319, 5571, 7815
                                                    },
                                                    new[]
                                                    {
                                                        6600, 1739, 3042, 482, 7526, 6189, 6201, 5049, 7511,
                                                        271, 3648, 311, 4698, 625, 4546, 2064, 7139, 3531,
                                                        5382, 3391, 3525, 5818, 7889, 3758, 3442, 1499,
                                                        7331, 5242, 1025, 4879, 2646, 91, 7850, 5887, 6570,
                                                        4605, 2698, 6105, 973, 6758, 7468, 3294, 3661, 5208,
                                                        4887, 5704, 2624, 1260, 1744, 1727, 1925, 1889,
                                                        7315, 7834, 6280, 5907, 4983, 1265, 5071, 5511, 846,
                                                        7242, 2836, 233, 7929, 1405, 3768, 4990, 3678, 8109,
                                                        3315, 532, 4996, 8009, 6324, 6622, 1437, 1371, 5764,
                                                        4170, 2053, 1577, 1437, 5729, 2387, 5753, 6008, 191,
                                                        2270, 4435, 6200, 3980, 1182, 4795, 537, 778, 2787,
                                                        2712, 3212, 3652, 3175, 5604, 1048, 6300, 2364,
                                                        2710, 4720, 875, 223, 6796, 99, 2912, 3965, 5535,
                                                        6698, 6048, 5556, 151, 7085, 1132, 5343, 3090, 2307,
                                                        7375, 7924, 3470, 162, 4606, 3512, 3724, 6890, 7530,
                                                        1369, 1538, 837, 3001, 3842, 835, 1478, 4744, 2866,
                                                        5109, 2300, 3475, 948, 6070, 682, 5756, 7804, 6262,
                                                        4420, 4209, 3797, 4057, 7544, 8162, 3436, 1580,
                                                        1938, 3, 4885, 6013, 5059, 6927, 591, 4799, 7678,
                                                        7069, 5938, 2262, 3837, 7579, 781, 2481, 3779, 6359,
                                                        3395, 6712, 8023, 1203, 3175, 7804, 6971, 2547,
                                                        3862, 4064, 338, 7311, 1675, 7677, 1890, 5165, 7841,
                                                        1740, 1740, 961, 1745, 4857, 6019, 5940, 829, 5104,
                                                        4959, 7929, 841, 3495, 756, 3389, 2849, 4543, 2048,
                                                        6450, 6648, 6772, 2536, 3283, 1177, 591, 4333, 7195,
                                                        355, 4212, 2382, 4511, 2834, 1466, 7650, 6305, 1906,
                                                        5451, 812, 1959, 7779, 2882, 5154, 2999, 7575, 2185,
                                                        962, 83, 7897, 3739, 4775, 3707, 5420, 4091, 6216,
                                                        2307, 7663, 6349, 4328, 5383, 7700, 7130, 3199
                                                    },
                                                    new[]
                                                    {
                                                        4739, 7973, 700, 7205, 344, 991, 5469, 7103, 1014,
                                                        6544, 4313, 43, 2539, 5972, 1446, 4069, 3327, 5152,
                                                        4863, 5301, 3679, 6621, 6067, 1654, 6163, 8169,
                                                        3773, 1884, 805, 3858, 2131, 3156, 39, 381, 3888,
                                                        1488, 5745, 868, 8057, 1662, 6984, 7629, 6585, 1198,
                                                        818, 474, 2644, 4892, 7749, 1765, 2009, 3759, 5669,
                                                        5557, 1686, 181, 5195, 5076, 4559, 44, 1288, 2688,
                                                        562, 4231, 3958, 686, 257, 1012, 6620, 4557, 7235,
                                                        7826, 6935, 917, 3590, 845, 4393, 1704, 8131, 614,
                                                        5370, 4888, 6629, 3970, 60, 3405, 3154, 7011, 4974,
                                                        6016, 1241, 6379, 3811, 4650, 2488, 7428, 2732,
                                                        1998, 623, 6651, 6576, 2424, 588, 4420, 6463, 314,
                                                        7792, 5023, 1309, 1983, 3900, 7617, 3988, 432, 5058,
                                                        3195, 5061, 6806, 4431, 5860, 2304, 4742, 4512,
                                                        5595, 5816, 4518, 2860, 364, 6575, 1786, 1780, 4363,
                                                        8174, 1721, 2093, 6585, 4615, 529, 3603, 1613, 5855,
                                                        7686, 4336, 7504, 1123, 6258, 6317, 7330, 6090,
                                                        4327, 6790, 3626, 4555, 949, 4621, 4068, 5700, 1666,
                                                        2852, 5612, 7929, 2052, 5822, 7670, 754, 7464, 8156,
                                                        1409, 3852, 3056, 1442, 4708, 3798, 8013, 2815,
                                                        8068, 3257, 5058, 7135, 3718, 2411, 6563, 843, 555,
                                                        2009, 7970, 2300, 4327, 6214, 6, 7307, 2148, 2644,
                                                        2682, 145, 3837, 1016, 6337, 7480, 1982, 6339, 5247,
                                                        6057, 4324, 6484, 6812, 1305, 2025, 6009, 6482,
                                                        6282, 6845, 4597, 883, 492, 7310, 2909, 3641, 6458,
                                                        2756, 2194, 5200, 2714, 8006, 6902, 29, 1214, 1837,
                                                        3921, 3564, 4486, 5784, 2582, 3317, 3647, 6582,
                                                        5064, 3728, 7962, 6144, 68, 747, 1976, 1555, 4430,
                                                        7418, 5589, 6229, 5523, 6544, 5003, 2940, 3826,
                                                        1382, 1931
                                                    },
                                                    new[]
                                                    {
                                                        5064, 5745, 5559, 5506, 5502, 446, 3502, 855, 2556,
                                                        4929, 2441, 3573, 8068, 5471, 5237, 1922, 4264,
                                                        7796, 6234, 5021, 717, 8083, 4849, 1488, 4651, 499,
                                                        3748, 4138, 6609, 170, 1585, 1224, 6507, 3388, 4338,
                                                        239, 7417, 7256, 8033, 4721, 7569, 1806, 676, 5130,
                                                        4986, 1262, 7587, 5721, 2279, 1300, 2309, 5784,
                                                        1286, 3350, 4518, 388, 1748, 2022, 6639, 6392, 5451,
                                                        4186, 1097, 5155, 7480, 4036, 1139, 596, 3398, 1308,
                                                        1867, 6558, 77, 6954, 5261, 1999, 5539, 745, 888,
                                                        1556, 2774, 5649, 7361, 3100, 3708, 711, 2365, 4494,
                                                        4982, 6371, 7065, 1803, 545, 6137, 4134, 6042, 4978,
                                                        7743, 6883, 6007, 5082, 1531, 2025, 7415, 6353, 300,
                                                        6954, 5468, 7554, 1275, 1684, 622, 7045, 6271, 6721,
                                                        4418, 5817, 7264, 4572, 7313, 3476, 1450, 395, 2414,
                                                        3063, 5916, 5315, 3145, 959, 1234, 4458, 1016, 4030,
                                                        3094, 1830, 3626, 4531, 493, 8126, 175, 4193, 1701,
                                                        3641, 3557, 4246, 2691, 54, 5366, 4332, 3073, 4176,
                                                        2550, 5724, 6516, 753, 7670, 6202, 1227, 64, 6332,
                                                        1933, 1306, 48, 2041, 1590, 6138, 620, 5885, 1754,
                                                        7810, 7982, 1795, 7368, 3868, 5778, 1256, 2270, 181,
                                                        6196, 7088, 3638, 2495, 7789, 5046, 2528, 6360,
                                                        5439, 1674, 4597, 1595, 3906, 8158, 4789, 7756,
                                                        3754, 1284, 5255, 3957, 5978, 5130, 2954, 7, 3363,
                                                        7320, 6785, 4859, 2077, 4597, 3118, 7220, 4822,
                                                        3690, 7698, 6289, 979, 5667, 6468, 124, 1230, 6744,
                                                        7117, 1421, 1173, 6083, 2342, 1790, 4500, 5654,
                                                        3589, 564, 2574, 4539, 66, 3893, 4654, 2978, 6743,
                                                        2596, 7741, 7528, 6781, 864, 3680, 4482, 1655, 31,
                                                        543, 3128, 1096, 2716, 4881, 1371, 1630, 6625, 1548
                                                    },
                                                    new[]
                                                    {
                                                        5988, 5486, 1650, 4944, 4973, 7011, 6161, 2691, 856,
                                                        3057, 886, 3597, 6693, 4217, 6400, 842, 65, 2122,
                                                        1058, 3161, 3168, 7391, 1381, 2310, 3018, 6384,
                                                        7865, 4382, 2948, 6749, 1830, 5660, 4316, 8018,
                                                        3820, 7073, 6622, 1203, 5259, 1295, 697, 7115, 4925,
                                                        4040, 2998, 677, 6930, 3306, 5854, 5734, 1908, 2288,
                                                        498, 4233, 3088, 6130, 5602, 5765, 1034, 6317, 5817,
                                                        1082, 2013, 1892, 6346, 7389, 5689, 2977, 1547, 459,
                                                        5769, 5190, 7596, 2706, 5601, 6053, 4803, 4178,
                                                        5464, 3525, 3664, 3978, 6742, 4736, 2395, 1735,
                                                        6267, 6887, 5513, 1944, 590, 2280, 7092, 6097, 6783,
                                                        4102, 5856, 7421, 7229, 1482, 1082, 135, 3930, 6789,
                                                        5146, 53, 7205, 4651, 7076, 2819, 2923, 7980, 6542,
                                                        6296, 5945, 2323, 2919, 5068, 1178, 4162, 6556, 81,
                                                        4112, 3669, 6336, 4490, 2731, 2534, 548, 4219, 6975,
                                                        990, 7959, 4463, 3529, 2720, 3421, 2419, 6241, 7788,
                                                        1358, 105, 1989, 4975, 7970, 4068, 5302, 6665, 8097,
                                                        4425, 5392, 4974, 3425, 394, 5257, 6234, 7749, 3818,
                                                        6269, 3973, 4649, 6736, 6824, 2995, 5454, 2347,
                                                        3069, 5287, 6636, 3321, 2228, 6680, 1625, 1390, 615,
                                                        5423, 5312, 5311, 4666, 6767, 1282, 3543, 7374,
                                                        7444, 475, 7791, 4780, 5665, 5092, 7341, 4611, 110,
                                                        7916, 6919, 4357, 879, 6493, 6689, 3957, 7649, 6145,
                                                        4868, 4689, 6572, 187, 3480, 3941, 7985, 5998, 2850,
                                                        1920, 7119, 573, 4437, 4510, 3481, 6259, 1311, 1043,
                                                        3199, 6304, 1347, 4843, 5147, 4177, 6216, 6420,
                                                        1739, 5255, 5857, 4321, 3670, 3113, 3008, 4897,
                                                        1764, 5481, 2382, 5972, 5550, 2920, 4651, 913, 7388,
                                                        4848, 5743, 4360, 3853, 7060, 2487, 7437, 4720,
                                                        1526, 4031, 3647
                                                    },
                                                    new[]
                                                    {
                                                        1847, 1270, 5190, 3770, 2884, 592, 7702, 8084, 376,
                                                        3715, 2875, 454, 220, 3677, 3845, 4209, 3634, 1136,
                                                        903, 1818, 5777, 3964, 2067, 247, 5661, 5473, 2920,
                                                        6276, 5324, 6529, 2214, 4297, 5547, 7675, 2365,
                                                        7663, 6104, 2290, 3547, 6036, 6757, 5014, 4290, 516,
                                                        5544, 3408, 1852, 2583, 5489, 4164, 1952, 2931,
                                                        1552, 22, 1617, 6361, 7122, 3650, 2626, 6812, 1467,
                                                        1938, 5111, 6617, 300, 3934, 2963, 5888, 6266, 149,
                                                        2413, 1800, 2837, 7313, 143, 5026, 867, 7648, 6416,
                                                        4520, 5250, 3188, 3353, 7815, 2941, 5389, 6074,
                                                        4146, 3949, 2442, 1792, 4485, 7438, 7339, 4028,
                                                        2279, 3250, 3603, 3158, 4685, 2721, 3765, 4307,
                                                        4811, 2920, 165, 197, 3029, 4754, 3505, 3451, 1663,
                                                        1539, 1068, 4668, 7039, 2845, 795, 940, 1333, 224,
                                                        35, 7278, 7056, 61, 7867, 3163, 131, 2129, 6889,
                                                        5453, 5917, 2336, 1122, 4007, 7157, 6167, 1060,
                                                        3152, 482, 4140, 5952, 5991, 2520, 2688, 5995, 4096,
                                                        4231, 969, 2102, 2600, 4712, 7428, 4447, 6006, 1669,
                                                        1124, 4725, 4999, 4338, 57, 6939, 1564, 229, 4028,
                                                        4464, 1299, 7738, 3321, 5519, 7652, 1915, 5937,
                                                        4536, 6797, 6681, 943, 3169, 7011, 6983, 1007, 1043,
                                                        1821, 7962, 1990, 7551, 5938, 5746, 1569, 2371,
                                                        1374, 2936, 6573, 477, 4483, 1020, 4806, 4464, 8056,
                                                        725, 7118, 3924, 7024, 3198, 450, 1673, 87, 2420,
                                                        3439, 7618, 192, 5071, 3631, 7082, 1919, 7997, 2455,
                                                        3877, 5188, 223, 5423, 6426, 519, 4687, 8090, 2910,
                                                        5574, 3922, 8145, 297, 111, 25, 2912, 228, 5583,
                                                        2152, 5634, 7020, 7537, 6688, 530, 6617, 1046, 1976,
                                                        7453, 5790, 2556, 6665, 6043, 7896, 2072, 7549,
                                                        2059, 6037, 2462
                                                    },
                                                    new[]
                                                    {
                                                        6754, 7480, 6945, 2915, 4993, 6453, 7827, 2452,
                                                        1064, 5505, 3581, 4122, 2882, 1917, 2298, 5593,
                                                        1738, 7290, 3290, 7551, 2286, 3365, 954, 3444, 3849,
                                                        3304, 7421, 6360, 3161, 5786, 7670, 1813, 7091, 420,
                                                        5723, 3881, 2952, 4883, 4776, 2091, 2147, 2463,
                                                        1348, 286, 5026, 5561, 3306, 5333, 5147, 3668, 828,
                                                        4414, 5046, 4355, 184, 7752, 6369, 4007, 4068, 6534,
                                                        3195, 6739, 3395, 7966, 7011, 745, 4598, 7736, 2857,
                                                        1223, 1268, 244, 7434, 1571, 7947, 3585, 7954, 787,
                                                        2201, 8003, 395, 7671, 2410, 6731, 5898, 1862, 6012,
                                                        7906, 4714, 4454, 1403, 7974, 3991, 3189, 7708,
                                                        1943, 2441, 3043, 4289, 1120, 4896, 4048, 1358,
                                                        3890, 1621, 4619, 895, 1712, 7607, 8148, 7935, 2492,
                                                        6329, 1807, 1211, 2383, 3383, 4333, 2280, 4988, 649,
                                                        5575, 5681, 7887, 15, 8105, 6470, 219, 3125, 1029,
                                                        2711, 7793, 4558, 2078, 6381, 1381, 3841, 2337, 965,
                                                        1903, 672, 6646, 1212, 1910, 6751, 811, 6521, 4663,
                                                        6994, 6885, 4205, 63, 1028, 3312, 272, 6427, 6175,
                                                        3471, 5590, 6479, 4983, 54, 943, 3241, 8058, 2895,
                                                        8099, 7705, 3935, 2390, 6857, 677, 1491, 2543, 179,
                                                        5579, 2402, 3714, 2295, 5538, 2055, 5174, 7138,
                                                        2206, 3060, 5680, 8049, 2766, 4378, 6122, 6174,
                                                        7327, 6136, 6314, 6069, 3461, 501, 6305, 898, 7750,
                                                        2499, 785, 195, 2249, 6518, 5896, 6364, 1238, 1534,
                                                        1448, 1514, 6563, 8119, 8149, 4415, 4357, 2852,
                                                        2167, 2887, 2153, 3817, 1947, 5817, 6019, 6544,
                                                        8140, 471, 8163, 398, 533, 6419, 3280, 1796, 7911,
                                                        4356, 7706, 6637, 381, 7320, 724, 7170, 4243, 4032,
                                                        5709, 4627, 5669, 8095, 1090, 4901, 8035, 2418, 800,
                                                        5819, 4180, 1092
                                                    },
                                                    new[]
                                                    {
                                                        3195, 4078, 5448, 2805, 6982, 7848, 1200, 5861,
                                                        7779, 976, 4050, 1723, 2908, 5096, 6546, 5560, 3132,
                                                        5587, 3215, 1796, 6516, 7367, 2850, 6654, 1255,
                                                        6073, 2787, 2844, 2657, 943, 6384, 5636, 4372, 4523,
                                                        4328, 6170, 2360, 6203, 3036, 818, 6735, 5436, 4922,
                                                        7499, 8146, 349, 339, 5046, 6012, 2467, 1276, 395,
                                                        3786, 3774, 131, 4064, 3523, 1143, 245, 5529, 175,
                                                        3308, 6556, 3146, 6064, 1798, 715, 4791, 1350, 2277,
                                                        7654, 5147, 1839, 3803, 220, 7304, 6591, 5565, 6709,
                                                        1426, 2199, 7642, 2330, 325, 6839, 2051, 2525, 4986,
                                                        14, 1905, 1261, 520, 2119, 1623, 3741, 128, 5279,
                                                        3194, 8065, 4314, 1188, 5961, 663, 4798, 5158, 3750,
                                                        2415, 5469, 1147, 2488, 5825, 3463, 6503, 7668,
                                                        7016, 7031, 5313, 6116, 1507, 5015, 1697, 1368,
                                                        4167, 4881, 6637, 2766, 4017, 501, 3942, 7075, 4794,
                                                        4927, 2918, 1044, 3977, 2537, 1573, 3488, 4955,
                                                        7860, 3456, 6875, 2365, 5687, 1346, 4992, 8163,
                                                        3184, 2366, 6789, 6796, 7691, 1149, 1615, 7141,
                                                        1473, 4700, 3597, 5156, 6588, 569, 2239, 5168, 5245,
                                                        7719, 5698, 2375, 4872, 5456, 4583, 3367, 4995,
                                                        4245, 207, 359, 5216, 3092, 5641, 7245, 4719, 2304,
                                                        831, 4063, 1201, 6900, 1904, 2455, 623, 5353, 3141,
                                                        1747, 155, 5236, 7134, 3693, 7839, 4797, 1823, 2296,
                                                        327, 2724, 1708, 782, 7826, 3864, 2484, 8125, 3445,
                                                        2515, 6806, 441, 6548, 2893, 6477, 1007, 2194, 5054,
                                                        7276, 1287, 456, 2830, 3106, 2829, 2290, 2436, 6865,
                                                        3357, 7509, 5406, 2106, 1798, 833, 92, 4539, 2788,
                                                        1606, 5294, 7470, 3807, 5188, 4809, 2973, 6650,
                                                        7521, 3530, 3410, 4166, 5729, 2711, 2546, 4375, 506,
                                                        6259, 7260, 5456
                                                    },
                                                    new[]
                                                    {
                                                        3850, 3235, 838, 3501, 31, 898, 7592, 8064, 2290,
                                                        7947, 5329, 4414, 6631, 4548, 5280, 240, 5804, 7131,
                                                        732, 6466, 189, 3407, 5192, 7926, 2558, 2738, 6394,
                                                        5300, 7335, 3820, 1702, 8066, 4331, 5356, 7177,
                                                        4579, 8015, 2970, 2351, 2800, 3565, 3526, 7955,
                                                        3773, 6303, 4165, 5473, 5780, 3132, 1201, 7136,
                                                        7609, 3390, 637, 3397, 3496, 7833, 3368, 2385, 6152,
                                                        7416, 6786, 1769, 1431, 3301, 7910, 2471, 8071,
                                                        1255, 3381, 2412, 5687, 1436, 7346, 1525, 4123,
                                                        6354, 3216, 4450, 3190, 5812, 3341, 4352, 3339,
                                                        4824, 1161, 6776, 373, 5821, 6725, 2986, 1244, 7612,
                                                        3980, 5720, 2883, 1813, 3312, 7934, 6570, 4301,
                                                        4267, 6827, 4280, 5085, 6546, 2067, 4179, 5993,
                                                        7603, 472, 935, 5540, 3892, 2818, 313, 2068, 4505,
                                                        7642, 1569, 3672, 4662, 5616, 5799, 5421, 7153,
                                                        1454, 3490, 4444, 6088, 1244, 468, 7806, 969, 2710,
                                                        2576, 6783, 8132, 1788, 5038, 1228, 6762, 5379,
                                                        2731, 4929, 6129, 1944, 3978, 3791, 3388, 781, 5179,
                                                        2624, 4550, 7883, 739, 6001, 5802, 1495, 6275, 6875,
                                                        4095, 368, 490, 976, 2675, 1411, 3809, 3119, 5845,
                                                        1265, 1605, 3182, 6824, 390, 2804, 7373, 853, 3279,
                                                        7844, 2646, 2885, 1864, 3127, 7712, 5203, 444, 843,
                                                        6041, 1775, 1562, 6194, 3878, 2294, 3919, 1916,
                                                        7972, 2785, 7600, 8005, 1826, 4417, 3623, 3816,
                                                        5860, 2372, 3300, 3755, 5546, 5393, 7961, 4732,
                                                        1446, 6958, 2464, 7509, 3981, 3773, 6799, 6028,
                                                        5719, 6181, 3665, 1383, 7815, 6847, 753, 117, 6383,
                                                        5169, 1543, 44, 3218, 3947, 3828, 1519, 1954, 4639,
                                                        4054, 7923, 765, 3709, 59, 6583, 3893, 801, 4577,
                                                        6739, 4534, 4967, 3055, 6298, 1373, 311, 4168
                                                    },
                                                    new[]
                                                    {
                                                        6776, 7905, 4263, 795, 2940, 650, 5478, 7116, 4767,
                                                        1333, 1637, 485, 4571, 4872, 3836, 2637, 6358, 2788,
                                                        3976, 5697, 8100, 6822, 5727, 3283, 7465, 5556,
                                                        1246, 4122, 5667, 158, 3161, 833, 5546, 6319, 7896,
                                                        3594, 8006, 6161, 3766, 7662, 7422, 6481, 1627,
                                                        7118, 7531, 3376, 1765, 2136, 4372, 6971, 4324,
                                                        8180, 5439, 4613, 5981, 832, 3575, 6602, 2626, 1431,
                                                        2342, 3536, 4495, 1130, 4036, 2898, 2280, 5074,
                                                        3117, 3115, 5312, 493, 3420, 2085, 6391, 1708, 7852,
                                                        7929, 4152, 3639, 4292, 1315, 575, 2133, 3320, 3591,
                                                        6468, 7431, 5674, 332, 3324, 8105, 4108, 6365, 1057,
                                                        6470, 2119, 1117, 5028, 3192, 5422, 1401, 7800,
                                                        3147, 5899, 129, 3428, 6601, 6892, 2292, 103, 5824,
                                                        7967, 5536, 1677, 7557, 6978, 7283, 1095, 7495,
                                                        2653, 5144, 1690, 5004, 3200, 207, 5113, 3879, 766,
                                                        3244, 7071, 3609, 2086, 377, 3261, 780, 586, 7373,
                                                        6038, 2531, 3528, 2901, 18, 325, 5315, 2317, 1323,
                                                        1349, 7697, 8073, 5383, 7538, 4872, 7738, 4560,
                                                        5285, 892, 5315, 3782, 7580, 5490, 4763, 2946, 2838,
                                                        7006, 2789, 7901, 7056, 1631, 3659, 2600, 6123,
                                                        3396, 4481, 266, 4681, 7708, 5708, 4983, 8115, 3128,
                                                        4499, 6274, 5603, 3545, 3795, 5702, 6428, 4031,
                                                        1106, 6869, 6261, 3703, 5872, 4412, 7628, 834, 4309,
                                                        5831, 1516, 5415, 7070, 4816, 5793, 233, 7854, 1978,
                                                        1371, 4666, 1690, 7712, 5688, 7943, 231, 3740, 1839,
                                                        1388, 5823, 2280, 7719, 3017, 3604, 218, 7196, 5773,
                                                        7807, 2137, 3824, 1418, 1289, 2439, 7205, 373, 236,
                                                        7684, 5688, 6318, 2026, 4979, 7450, 1077, 2984,
                                                        4790, 1774, 7715, 6577, 7092, 2547, 4954, 3071,
                                                        1667, 1170, 2362, 3886, 4096
                                                    },
                                                    new[]
                                                    {
                                                        4170, 3731, 2877, 4325, 7904, 4246, 6467, 4882,
                                                        1369, 3169, 1428, 7717, 4429, 117, 6895, 2425, 1491,
                                                        6926, 2595, 3197, 4651, 2891, 480, 3561, 666, 5876,
                                                        1956, 1088, 5894, 3838, 8190, 2931, 7979, 7875,
                                                        1763, 6917, 3725, 4104, 4085, 5298, 2797, 4767,
                                                        6329, 2226, 849, 1804, 2053, 8124, 1563, 6711, 1303,
                                                        7001, 1118, 4260, 2666, 5561, 7188, 4701, 1442,
                                                        7982, 4905, 5779, 1191, 8170, 2780, 2942, 7596,
                                                        1736, 5038, 7179, 4834, 573, 5117, 5595, 7423, 7854,
                                                        7602, 1192, 7027, 3004, 6891, 7784, 2268, 2882,
                                                        5237, 4643, 5040, 2964, 2133, 7347, 2966, 6863,
                                                        1526, 6451, 7140, 50, 1701, 6643, 2990, 7652, 6553,
                                                        7555, 5541, 2133, 3700, 1557, 7978, 4074, 7694,
                                                        2794, 4064, 1255, 7011, 4279, 7426, 5050, 4354,
                                                        4813, 7195, 6486, 2490, 6541, 6868, 4019, 6403, 160,
                                                        3652, 4670, 2267, 281, 5174, 3780, 3650, 6811, 3908,
                                                        680, 5425, 7503, 5968, 7537, 317, 3662, 3036, 1216,
                                                        1830, 3076, 7482, 7375, 739, 3500, 116, 3577, 7056,
                                                        246, 7493, 6828, 876, 5454, 6984, 511, 6708, 958,
                                                        5376, 4737, 4399, 1069, 7624, 6702, 5877, 3663,
                                                        1494, 455, 2434, 3510, 4963, 6914, 762, 2384, 803,
                                                        4783, 7916, 7630, 3092, 1665, 3028, 3301, 4818,
                                                        5852, 4194, 2203, 6578, 6011, 5773, 571, 265, 5125,
                                                        2492, 7157, 3837, 2548, 4477, 5319, 7999, 3312,
                                                        6340, 880, 2936, 7385, 6953, 1395, 4948, 5593, 5750,
                                                        508, 3268, 3008, 710, 7047, 4100, 1060, 2935, 2355,
                                                        7832, 1671, 6514, 7102, 187, 4504, 6639, 2224, 3872,
                                                        6844, 910, 3955, 75, 1748, 8061, 700, 4694, 859,
                                                        842, 6153, 7615, 6921, 749, 420, 3351, 1435, 3188,
                                                        6057, 971, 6922, 6493, 3963, 6380
                                                    },
                                                    new[]
                                                    {
                                                        5747, 3840, 5728, 117, 5293, 4780, 2271, 7433, 343,
                                                        4348, 7716, 1078, 4505, 7781, 1496, 425, 3092, 1910,
                                                        2291, 2513, 4391, 7046, 5308, 1826, 3761, 8064,
                                                        6935, 421, 3145, 1375, 5374, 5827, 6069, 7413, 4205,
                                                        1041, 4792, 3697, 7679, 7403, 2531, 1811, 8137,
                                                        1173, 1972, 7490, 5641, 152, 7435, 7459, 1124, 4204,
                                                        166, 4407, 5898, 700, 3391, 220, 4669, 2719, 3382,
                                                        860, 3071, 7294, 5127, 2448, 6608, 6452, 1340, 6220,
                                                        7131, 5312, 4348, 3536, 1973, 546, 5784, 2942, 899,
                                                        4727, 6148, 6475, 4984, 2720, 6166, 5353, 3938,
                                                        1704, 8095, 6689, 162, 7164, 6864, 3352, 7280, 6457,
                                                        273, 5736, 349, 5887, 153, 4250, 2472, 6314, 5749,
                                                        6941, 2853, 2811, 7347, 2179, 891, 6463, 958, 6978,
                                                        5981, 3925, 7224, 1643, 4050, 4191, 7573, 1591,
                                                        1437, 8065, 3975, 6559, 3928, 4794, 5275, 1440,
                                                        4514, 5436, 1371, 3721, 473, 5341, 7876, 3611, 1944,
                                                        4101, 2840, 7050, 3611, 2798, 4427, 1449, 3776,
                                                        6326, 3796, 731, 6739, 1055, 5085, 1055, 4326, 1451,
                                                        5356, 7639, 270, 4766, 5679, 6390, 1131, 2767, 1010,
                                                        6713, 4631, 7763, 2539, 7804, 6020, 3203, 859, 4355,
                                                        7020, 35, 3781, 5240, 3939, 1969, 5790, 2195, 2723,
                                                        3599, 422, 1384, 7113, 5026, 3173, 5939, 1305, 1535,
                                                        4829, 5915, 6833, 3826, 3888, 4433, 3541, 4828,
                                                        5453, 1856, 4648, 1696, 2412, 8182, 1692, 4112,
                                                        1482, 6433, 3556, 2984, 6243, 2914, 3868, 3142,
                                                        1012, 1664, 3526, 4612, 4886, 7330, 6413, 5010,
                                                        4066, 1248, 8191, 7550, 7670, 3564, 5285, 6699,
                                                        2527, 4756, 6606, 1493, 1596, 1316, 3210, 2511,
                                                        3517, 6099, 2871, 1605, 3483, 6928, 4643, 8143,
                                                        4367, 6331, 5027, 6584, 5935, 942, 1391
                                                    },
                                                    new[]
                                                    {
                                                        5620, 1622, 152, 6377, 4111, 4163, 6950, 4234, 1974,
                                                        528, 3572, 1135, 5042, 2178, 4755, 7566, 7125, 3848,
                                                        2937, 5714, 4061, 6106, 5941, 4025, 4183, 7589,
                                                        2757, 1600, 863, 6007, 5594, 4949, 3604, 6987, 3698,
                                                        3295, 4034, 1760, 6217, 2040, 6176, 4649, 2842,
                                                        3913, 1249, 695, 438, 3837, 2803, 1762, 2211, 2942,
                                                        3227, 3804, 5743, 1623, 4613, 4693, 3084, 810, 7677,
                                                        1063, 841, 3039, 4255, 6692, 6362, 4600, 3317, 1161,
                                                        7034, 2150, 6735, 2497, 4570, 1271, 7738, 3763,
                                                        6582, 2219, 1362, 5191, 3938, 6348, 6518, 605, 5112,
                                                        3278, 3378, 121, 2185, 4811, 8147, 2364, 7967, 6380,
                                                        3729, 6460, 2386, 1325, 1640, 8003, 5320, 612, 917,
                                                        5418, 2433, 515, 2644, 3360, 290, 6202, 6167, 171,
                                                        1186, 2550, 6137, 908, 5579, 6980, 3073, 5160, 5683,
                                                        6193, 4420, 2991, 3461, 4008, 2160, 766, 820, 4317,
                                                        7657, 7806, 1921, 2082, 2178, 1697, 3976, 5343, 19,
                                                        4663, 8139, 7091, 3875, 1422, 3740, 7472, 7650,
                                                        6379, 1251, 2221, 267, 7899, 3029, 3925, 7232, 876,
                                                        5931, 352, 5916, 6398, 1096, 2072, 5147, 1608, 5755,
                                                        370, 2265, 5687, 3016, 5554, 2045, 5409, 641, 5315,
                                                        4736, 7512, 6737, 1156, 6226, 7223, 6158, 5551,
                                                        2945, 6448, 8175, 4842, 7341, 4052, 2297, 7298, 642,
                                                        6782, 3406, 7086, 1792, 3964, 2876, 3338, 6234,
                                                        3224, 3252, 7958, 5600, 1192, 2753, 721, 8102, 563,
                                                        1966, 7444, 7067, 7951, 3397, 3634, 1051, 6599,
                                                        1913, 4782, 7686, 7549, 1840, 599, 4426, 2949, 3402,
                                                        4265, 2489, 1, 2168, 6478, 683, 4109, 2518, 6961,
                                                        850, 3300, 3049, 4034, 6247, 7250, 6620, 5040, 770,
                                                        8182, 6576, 3618, 7469, 2094, 4987, 2063, 1435,
                                                        6367, 7444
                                                    },
                                                    new[]
                                                    {
                                                        7094, 4017, 1861, 7384, 4089, 6619, 4972, 4009,
                                                        3047, 3919, 5647, 6160, 5744, 7301, 7695, 1270,
                                                        7251, 2994, 736, 2141, 526, 2109, 3753, 5041, 4223,
                                                        6846, 2489, 7852, 3597, 1568, 2350, 7096, 4541, 825,
                                                        4280, 7841, 6081, 8184, 1773, 35, 3085, 4404, 7784,
                                                        2443, 7077, 1139, 7088, 2345, 6464, 1947, 4900, 179,
                                                        2429, 6650, 509, 4385, 1551, 6006, 189, 1237, 5228,
                                                        5529, 755, 2159, 1226, 6548, 6617, 7928, 4769, 1752,
                                                        5714, 6076, 3947, 1744, 4748, 2230, 251, 7441, 3042,
                                                        3425, 5354, 3529, 98, 5251, 1169, 7819, 7726, 5598,
                                                        4648, 3197, 7345, 465, 5815, 8108, 4733, 805, 4557,
                                                        2752, 5848, 4163, 3469, 5864, 7803, 3218, 1787,
                                                        4148, 7210, 116, 804, 5859, 4197, 689, 7938, 393,
                                                        6301, 5083, 4166, 1166, 8123, 2447, 1298, 4755, 3,
                                                        4037, 49, 942, 2266, 2931, 2527, 2941, 3253, 4619,
                                                        3144, 3973, 7875, 7891, 2543, 614, 6231, 2461, 59,
                                                        6966, 4602, 6409, 5043, 6155, 6354, 6248, 6628, 136,
                                                        4488, 6730, 7718, 6692, 4673, 7141, 2313, 6954,
                                                        7969, 5534, 7107, 1642, 6503, 6523, 8059, 5707,
                                                        3514, 4774, 3589, 5747, 1053, 1038, 1727, 788, 2451,
                                                        1396, 3803, 8128, 8044, 3058, 5018, 4873, 3582,
                                                        7856, 2971, 3558, 5205, 5485, 1244, 2858, 4701,
                                                        3872, 5781, 5766, 5524, 2870, 1948, 725, 7966, 1766,
                                                        7502, 823, 752, 249, 7766, 6182, 4560, 6270, 173,
                                                        1643, 7449, 2207, 7915, 6615, 622, 3596, 3235, 2793,
                                                        2205, 3164, 6336, 5252, 2020, 97, 1907, 4769, 898,
                                                        3126, 995, 3507, 2821, 3774, 912, 3398, 1970, 3114,
                                                        3565, 392, 2138, 3685, 1443, 8011, 756, 1330, 3631,
                                                        588, 7686, 6880, 5589, 7679, 3979, 8098, 5334, 2153,
                                                        3854
                                                    }
                                                };

        public int[][] GetPermutations()
        {
            return permutations;
        }

        public int Count
        {
            get
            {
                return permutations.Length;

            }
        }

        public int IndexesPerPermutation
        {
            get
            {
                return permutations[0].Length;
            }
        }
    }
}
